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Least Common Multiple (LCM) of 92 and 61

The least common multiple (LCM) of 92 and 61 is 5612.

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 92 and 61?

First, calculate the GCD of 92 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 92 ÷ 61 = 1 remainder 31
2 61 ÷ 31 = 1 remainder 30
3 31 ÷ 30 = 1 remainder 1
4 30 ÷ 1 = 30 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 386194
95 and 141330
75 and 15111325
113 and 16718871
101 and 17017170

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