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Least Common Multiple (LCM) of 142 and 47

The least common multiple (LCM) of 142 and 47 is 6674.

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 142 and 47?

First, calculate the GCD of 142 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 47 = 3 remainder 1
2 47 ÷ 1 = 47 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 571425
59 and 1287552
128 and 8310624
84 and 49588
109 and 15516895

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