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Least Common Multiple (LCM) of 37 and 117

The least common multiple (LCM) of 37 and 117 is 4329.

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 37 and 117?

First, calculate the GCD of 37 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 37 ÷ 117 = 0 remainder 37
2 117 ÷ 37 = 3 remainder 6
3 37 ÷ 6 = 6 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
172 and 763268
178 and 19935422
82 and 19916318
41 and 1225002
67 and 976499

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