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Least Common Multiple (LCM) of 56 and 71

The least common multiple (LCM) of 56 and 71 is 3976.

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 56 and 71?

First, calculate the GCD of 56 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 71 = 0 remainder 56
2 71 ÷ 56 = 1 remainder 15
3 56 ÷ 15 = 3 remainder 11
4 15 ÷ 11 = 1 remainder 4
5 11 ÷ 4 = 2 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 452655
110 and 19121010
139 and 15321267
154 and 110770
129 and 557095

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