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Least Common Multiple (LCM) of 22 and 80

The least common multiple (LCM) of 22 and 80 is 880.

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 80?

First, calculate the GCD of 22 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 80 = 0 remainder 22
2 80 ÷ 22 = 3 remainder 14
3 22 ÷ 14 = 1 remainder 8
4 14 ÷ 8 = 1 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 262834
52 and 291508
45 and 1701530
164 and 6110004
199 and 12625074

Try Calculating LCM of Other Numbers







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