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Least Common Multiple (LCM) of 67 and 31

The least common multiple (LCM) of 67 and 31 is 2077.

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 67 and 31?

First, calculate the GCD of 67 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 31 = 2 remainder 5
2 31 ÷ 5 = 6 remainder 1
3 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 1917831
72 and 614392
172 and 1365848
62 and 1177254
20 and 188940

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