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Least Common Multiple (LCM) of 36 and 60

The least common multiple (LCM) of 36 and 60 is 180.

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 36 and 60?

First, calculate the GCD of 36 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 60 = 0 remainder 36
2 60 ÷ 36 = 1 remainder 24
3 36 ÷ 24 = 1 remainder 12
4 24 ÷ 12 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 6410304
10 and 1530
121 and 10312463
133 and 405320
191 and 18234762

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