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Least Common Multiple (LCM) of 151 and 141

The least common multiple (LCM) of 151 and 141 is 21291.

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 151 and 141?

First, calculate the GCD of 151 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 151 ÷ 141 = 1 remainder 10
2 141 ÷ 10 = 14 remainder 1
3 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 4646
18 and 1332394
177 and 1689912
162 and 481296
76 and 1279652

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