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Least Common Multiple (LCM) of 60 and 22

The least common multiple (LCM) of 60 and 22 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 60 and 22?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
53 and 1588374
82 and 542214
115 and 576555
116 and 1203480
173 and 152595

Try Calculating LCM of Other Numbers







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