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Least Common Multiple (LCM) of 185 and 72

The least common multiple (LCM) of 185 and 72 is 13320.

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 185 and 72?

First, calculate the GCD of 185 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 185 ÷ 72 = 2 remainder 41
2 72 ÷ 41 = 1 remainder 31
3 41 ÷ 31 = 1 remainder 10
4 31 ÷ 10 = 3 remainder 1
5 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 36900
85 and 1853145
131 and 273537
117 and 156468
197 and 11823246

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