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Least Common Multiple (LCM) of 147 and 142

The least common multiple (LCM) of 147 and 142 is 20874.

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 147 and 142?

First, calculate the GCD of 147 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 142 = 1 remainder 5
2 142 ÷ 5 = 28 remainder 2
3 5 ÷ 2 = 2 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 1126832
25 and 12300
26 and 38494
186 and 8315438
175 and 19333775

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