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Least Common Multiple (LCM) of 152 and 141

The least common multiple (LCM) of 152 and 141 is 21432.

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 152 and 141?

First, calculate the GCD of 152 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 152 ÷ 141 = 1 remainder 11
2 141 ÷ 11 = 12 remainder 9
3 11 ÷ 9 = 1 remainder 2
4 9 ÷ 2 = 4 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 462530
10 and 194970
121 and 829922
30 and 1342010
109 and 808720

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