LCM of 2 and 30 is 30. The Least/Lowest Common Multiple often known as LCM is the smallest number that is divisible by the given set of numbers. In the given set of numbers 2 and 30, 30 is the first(least or smallest) number that is common in the set of multiples of 2 and 30. 60 is also the common multiple of 2 and 30. However, 30 is the smallest. Hence 30 is the LCM which is also known as LCD, Least Common Divisor for 2 and 30. You can read more on LCM for further details.
What is LCM of 2 and 30
The Least Common Multiple or Lowest Common Multiple of 2 and 30 is 30.
How to Find LCM of 2 and 30?
LCM of 2 and 30 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 2 and 30 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 2 and 30 can be expressed as;
2 = 2 × 1
30 = 2 × 3 × 5
2 is a prime number and also a prime factor of 30, which is multiplied by the prime factors of 30 to get the LCM.
LCM (2, 30) = 2 × 3 × 5 = 30
LCM of 2 and 30 Using Division Method
In the Division Method, 2 and 30 are divided by the same factors. Since 2 is prime and division completes for 2 in a single step, 30 is divided further by other prime factors. The product of the prime divisors of 2 and 30 forms the LCM.
|
2 |
2 |
30 |
|
3 |
1 |
15 |
|
5 |
1 |
5 |
|
× |
1 |
1 |
LCM (2, 30) = 2 × 3 × 5 = 30
LCM of 2 and 30 Using Listing the Multiples
By listing all the multiples of 2 and 30, we can identify the first multiple, which is the LCM. Below is the list of multiples for 2 and 30
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34
Multiples of 30:
30, 60, 90
LCM (2, 30) = 30
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 2 and 30?
Answer: 30 is the smallest number that is divisible by both 2 and 30.
What is the LCM for 15 and 30?
Answer: LCM for 15 and 30 is 30 as 15 is the factor of 30.
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