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Least Common Multiple (LCM) of 67 and 137

The least common multiple (LCM) of 67 and 137 is 9179.

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 137?

First, calculate the GCD of 67 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 67 ÷ 137 = 0 remainder 67
2 137 ÷ 67 = 2 remainder 3
3 67 ÷ 3 = 22 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 36684
173 and 10217646
37 and 1886956
15 and 761140
33 and 1043432

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