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Least Common Multiple (LCM) of 142 and 32

The least common multiple (LCM) of 142 and 32 is 2272.

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 32?

First, calculate the GCD of 142 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 32 = 4 remainder 14
2 32 ÷ 14 = 2 remainder 4
3 14 ÷ 4 = 3 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
134 and 658710
39 and 1425538
179 and 16329177
22 and 46506
77 and 1037931

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