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Least Common Multiple (LCM) of 70 and 31

The least common multiple (LCM) of 70 and 31 is 2170.

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 31?

First, calculate the GCD of 70 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
152 and 16304
87 and 571653
98 and 1024998
27 and 1453915
73 and 18213286

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