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Least Common Multiple (LCM) of 140 and 142

The least common multiple (LCM) of 140 and 142 is 9940.

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 140 and 142?

First, calculate the GCD of 140 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 142 = 0 remainder 140
2 142 ÷ 140 = 1 remainder 2
3 140 ÷ 2 = 70 remainder 0

Examples of LCM Calculations

NumbersLCM
190 and 17332870
105 and 1023570
66 and 2006600
164 and 15412628
114 and 1729804

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