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Least Common Multiple (LCM) of 140 and 61

The least common multiple (LCM) of 140 and 61 is 8540.

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 61?

First, calculate the GCD of 140 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 61 = 2 remainder 18
2 61 ÷ 18 = 3 remainder 7
3 18 ÷ 7 = 2 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 354620
16 and 66528
150 and 416150
118 and 9310974
169 and 345746

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