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Least Common Multiple (LCM) of 52 and 71

The least common multiple (LCM) of 52 and 71 is 3692.

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 52 and 71?

First, calculate the GCD of 52 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 71 = 0 remainder 52
2 71 ÷ 52 = 1 remainder 19
3 52 ÷ 19 = 2 remainder 14
4 19 ÷ 14 = 1 remainder 5
5 14 ÷ 5 = 2 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 424242
152 and 10760
70 and 1552170
142 and 16211502
155 and 15323715

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