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Least Common Multiple (LCM) of 108 and 142

The least common multiple (LCM) of 108 and 142 is 7668.

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 108 and 142?

First, calculate the GCD of 108 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 108 ÷ 142 = 0 remainder 108
2 142 ÷ 108 = 1 remainder 34
3 108 ÷ 34 = 3 remainder 6
4 34 ÷ 6 = 5 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
103 and 232369
148 and 10315244
53 and 472491
192 and 1802880
175 and 11119425

Try Calculating LCM of Other Numbers







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