LCM of 35 and 70 is 70. We know that the LCM concept is mainly used to make the simplification process easier. Least Common Multiple (LCM) is the perfect study guide to follow for effective exam preparation. Subject experts prepared this article in an easy and simple format so that students get their doubts cleared immediately. In this article, let us learn how to represent the least common multiple of 35 and 70 with the help of the solved examples and FAQs.
What is LCM of 35 and 70?
The answer to this question is 70.
How to Find LCM of 35 and 70?
The LCM of 35 and 70 can be determined by using the methods given below:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 35 and 70 Using Prime Factorisation Method
The prime factorisation method is one of the most common ways of calculating LCM. To find the LCM of 35 and 70, we use the steps as follows:
35 = 5 × 7
70 = 2 × 5 × 7
LCM (35, 70) = 2 × 5 × 7 = 70
LCM of 35 and 70 Using Division Method
In the division method, to determine the least common multiple of 35 and 70, we divide the numbers 35 and 70 by their prime factors until we get the result as one in the complete row. The product of these divisors shows the least common multiple of 35 and 70.
| 2 | 35 | 70 |
| 5 | 35 | 35 |
| 7 | 7 | 7 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (35, 70) = 2 × 5 × 7 = 70
LCM of 35 and 70 Using Listing the Multiples
In this method, we list out the multiples of given numbers to find the least common multiple among them. The following table shows the multiples of 35 and 70.
| Multiples of 35 | Multiples of 70 |
| 35 | 70 |
| 70 | 140 |
| 105 | 210 |
| 140 | 280 |
| 175 | 350 |
| 210 | 420 |
LCM (35, 70) = 70
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 35 and 70?
Solution: 70 is the smallest number that is divisible by both 35 and 70.
2. The GCD and LCM of the two numbers are 35 and 70. If one number is 35, what is the other number?
Solution: Let the other number be z
We know that,
GCD × LCM = 35 × z
z = (GCD × LCM) / 35
z = (35 × 70) / 35
z = 70
Hence, the other number is 70.
Frequently Asked Questions on LCM of 35 and 70
What is the LCM of 35 and 70?
Mention the LCM of 35 and 70 and the HCF of 35 and 70.
Is 80 the LCM of 35 and 70?
Name the methods used to find the LCM of 35 and 70.
The following methods are used to find the LCM of 35 and 70
Prime Factorisation
Division Method
Listing the Multiples
Calculate the GCF if the LCM of 35 and 70 is 70.
GCF × LCM = 35 × 70
Given
LCM = 70
GCF × 70 = 35 × 70
GCF = 35
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