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Least Common Multiple (LCM) of 140 and 40

The least common multiple (LCM) of 140 and 40 is 280.

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 40?

First, calculate the GCD of 140 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 40 = 3 remainder 20
2 40 ÷ 20 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
179 and 19835442
52 and 1463796
163 and 14623798
79 and 1209480
52 and 1276604

Try Calculating LCM of Other Numbers







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