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Least Common Multiple (LCM) of 71 and 92

The least common multiple (LCM) of 71 and 92 is 6532.

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 71 and 92?

First, calculate the GCD of 71 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 92 = 0 remainder 71
2 92 ÷ 71 = 1 remainder 21
3 71 ÷ 21 = 3 remainder 8
4 21 ÷ 8 = 2 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
90 and 1711710
30 and 156780
32 and 1862976
10 and 34170
100 and 474700

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