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Least Common Multiple (LCM) of 22 and 141

The least common multiple (LCM) of 22 and 141 is 3102.

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 141?

First, calculate the GCD of 22 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 141 = 0 remainder 22
2 141 ÷ 22 = 6 remainder 9
3 22 ÷ 9 = 2 remainder 4
4 9 ÷ 4 = 2 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
142 and 9112922
167 and 569352
177 and 663894
180 and 16614940
147 and 1402940

Try Calculating LCM of Other Numbers







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