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Least Common Multiple (LCM) of 51 and 71

The least common multiple (LCM) of 51 and 71 is 3621.

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 51 and 71?

First, calculate the GCD of 51 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 71 = 0 remainder 51
2 71 ÷ 51 = 1 remainder 20
3 51 ÷ 20 = 2 remainder 11
4 20 ÷ 11 = 1 remainder 9
5 11 ÷ 9 = 1 remainder 2
6 9 ÷ 2 = 4 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
91 and 867826
118 and 14517110
125 and 273375
148 and 624588
60 and 3060

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