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Least Common Multiple (LCM) of 22 and 89

The least common multiple (LCM) of 22 and 89 is 1958.

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 89?

First, calculate the GCD of 22 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 89 = 0 remainder 22
2 89 ÷ 22 = 4 remainder 1
3 22 ÷ 1 = 22 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 13620536
182 and 1962548
129 and 933999
200 and 1154600
199 and 7013930

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