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Least Common Multiple (LCM) of 75 and 22

The least common multiple (LCM) of 75 and 22 is 1650.

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 75 and 22?

First, calculate the GCD of 75 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 22 = 3 remainder 9
2 22 ÷ 9 = 2 remainder 4
3 9 ÷ 4 = 2 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 19534320
76 and 816156
71 and 18012780
109 and 12213298
42 and 861806

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