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Least Common Multiple (LCM) of 93 and 137

The least common multiple (LCM) of 93 and 137 is 12741.

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 93 and 137?

First, calculate the GCD of 93 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 93 ÷ 137 = 0 remainder 93
2 137 ÷ 93 = 1 remainder 44
3 93 ÷ 44 = 2 remainder 5
4 44 ÷ 5 = 8 remainder 4
5 5 ÷ 4 = 1 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 1031854
112 and 18120272
160 and 1683360
89 and 837387
44 and 1944268

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