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Least Common Multiple (LCM) of 71 and 50

The least common multiple (LCM) of 71 and 50 is 3550.

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 50?

First, calculate the GCD of 71 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 50 = 1 remainder 21
2 50 ÷ 21 = 2 remainder 8
3 21 ÷ 8 = 2 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 213297
39 and 69897
80 and 1482960
77 and 644928
134 and 17811926

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