LCM of 70 and 90

LCM of 70 and 90 is 630. The Least Common Divisor (LCD) also known as Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 70 and 90, 630 is the first(least or smallest) number that is common in the set of multiples of 70 and 90. You can refer to HCF and LCM for understanding the difference between HCF and LCM. 

What is LCM of 70 and 90

The Least Common Multiple or Lowest Common Multiple of 70 and 90 is 630.

How to Find LCM of 70 and 90?

LCM of 70 and 90 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 70 and 90 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers 70 and 90 can be expressed as;

70 = 2 × 5 × 7

90 = 2 × 3 × 3 × 5 

LCM (70, 90) = 2 × 3 × 3 × 5 × 7 = 630

LCM of 70 and 90 Using Division Method

In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left. Below the complete division for 70 and 90 is given in a tabular format.

LCM (70, 90) = 2 × 3 × 3 × 5 × 7 = 630

LCM of 70 and 90 Using Listing the Multiples

By listing all the multiples of 70 and 90, we can identify the LCM. Below is the list of multiples for 70 and 90

LCM (70, 90) = 630

Related Articles

• LCM
• LCM Calculator
• LCM with Examples
• LCM Formula
• Prime Factorization and Division method

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 70 and 90?

Answer: 630 is the smallest number that is divisible by both 70 and 90. 

What is the LCM for 2, 5, 10, 70 and 90? 

Answer: LCM for 2, 5, 10, 70 and 90 is 630 as 2, 5 and 10 are the factors of 70 and 90.