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Least Common Multiple (LCM) of 67 and 36

The least common multiple (LCM) of 67 and 36 is 2412.

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 36?

First, calculate the GCD of 67 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 36 = 1 remainder 31
2 36 ÷ 31 = 1 remainder 5
3 31 ÷ 5 = 6 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 741258
56 and 874872
155 and 10616430
111 and 171887
100 and 16116100

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