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Least Common Multiple (LCM) of 94 and 137

The least common multiple (LCM) of 94 and 137 is 12878.

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 94 and 137?

First, calculate the GCD of 94 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 94 ÷ 137 = 0 remainder 94
2 137 ÷ 94 = 1 remainder 43
3 94 ÷ 43 = 2 remainder 8
4 43 ÷ 8 = 5 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 30630
110 and 515610
199 and 9017910
28 and 892492
171 and 7913509

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