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Least Common Multiple (LCM) of 58 and 156

The least common multiple (LCM) of 58 and 156 is 4524.

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 58 and 156?

First, calculate the GCD of 58 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 156 = 0 remainder 58
2 156 ÷ 58 = 2 remainder 40
3 58 ÷ 40 = 1 remainder 18
4 40 ÷ 18 = 2 remainder 4
5 18 ÷ 4 = 4 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 1403220
159 and 14022260
20 and 172860
120 and 1152760
75 and 1151725

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