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Least Common Multiple (LCM) of 40 and 22

The least common multiple (LCM) of 40 and 22 is 440.

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 40 and 22?

First, calculate the GCD of 40 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 40 ÷ 22 = 1 remainder 18
2 22 ÷ 18 = 1 remainder 4
3 18 ÷ 4 = 4 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 140280
10 and 140140
38 and 1254750
142 and 10915478
141 and 344794

Try Calculating LCM of Other Numbers







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