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Least Common Multiple (LCM) of 59 and 60

The least common multiple (LCM) of 59 and 60 is 3540.

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 59 and 60?

First, calculate the GCD of 59 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 60 = 0 remainder 59
2 60 ÷ 59 = 1 remainder 1
3 59 ÷ 1 = 59 remainder 0

Examples of LCM Calculations

NumbersLCM
22 and 1413102
89 and 19016910
20 and 140140
168 and 15125368
163 and 11318419

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