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Least Common Multiple (LCM) of 22 and 180

The least common multiple (LCM) of 22 and 180 is 1980.

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 180?

First, calculate the GCD of 22 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 180 = 0 remainder 22
2 180 ÷ 22 = 8 remainder 4
3 22 ÷ 4 = 5 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 782418
61 and 553355
94 and 1848648
110 and 623410
200 and 18336600

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