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Least Common Multiple (LCM) of 184 and 72

The least common multiple (LCM) of 184 and 72 is 1656.

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 184 and 72?

First, calculate the GCD of 184 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 184 ÷ 72 = 2 remainder 40
2 72 ÷ 40 = 1 remainder 32
3 40 ÷ 32 = 1 remainder 8
4 32 ÷ 8 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 592832
123 and 632583
196 and 18536260
88 and 1948536
113 and 18020340

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