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Least Common Multiple (LCM) of 141 and 62

The least common multiple (LCM) of 141 and 62 is 8742.

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 62?

First, calculate the GCD of 141 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 141 ÷ 62 = 2 remainder 17
2 62 ÷ 17 = 3 remainder 11
3 17 ÷ 11 = 1 remainder 6
4 11 ÷ 6 = 1 remainder 5
5 6 ÷ 5 = 1 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 597257
65 and 851105
162 and 1504050
60 and 1639780
74 and 251850

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