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Least Common Multiple (LCM) of 96 and 141

The least common multiple (LCM) of 96 and 141 is 4512.

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 96 and 141?

First, calculate the GCD of 96 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 96 ÷ 141 = 0 remainder 96
2 141 ÷ 96 = 1 remainder 45
3 96 ÷ 45 = 2 remainder 6
4 45 ÷ 6 = 7 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 1041560
46 and 982254
169 and 172873
61 and 895429
163 and 15124613

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