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Least Common Multiple (LCM) of 70 and 39

The least common multiple (LCM) of 70 and 39 is 2730.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 70 and 39?

First, calculate the GCD of 70 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 39 = 1 remainder 31
2 39 ÷ 31 = 1 remainder 8
3 31 ÷ 8 = 3 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 675494
46 and 1135198
161 and 7512075
69 and 841932
191 and 9618336

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