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Least Common Multiple (LCM) of 22 and 60

The least common multiple (LCM) of 22 and 60 is 660.

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 22 and 60?

First, calculate the GCD of 22 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 60 = 0 remainder 22
2 60 ÷ 22 = 2 remainder 16
3 22 ÷ 16 = 1 remainder 6
4 16 ÷ 6 = 2 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
175 and 125875
87 and 685916
23 and 511173
122 and 1207320
197 and 6412608

Try Calculating LCM of Other Numbers







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