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Least Common Multiple (LCM) of 141 and 113

The least common multiple (LCM) of 141 and 113 is 15933.

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 141 and 113?

First, calculate the GCD of 141 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 113 = 1 remainder 28
2 113 ÷ 28 = 4 remainder 1
3 28 ÷ 1 = 28 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 441540
168 and 15840
142 and 17012070
116 and 1805220
126 and 232898

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