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Least Common Multiple (LCM) of 140 and 83

The least common multiple (LCM) of 140 and 83 is 11620.

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 83?

First, calculate the GCD of 140 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 83 = 1 remainder 57
2 83 ÷ 57 = 1 remainder 26
3 57 ÷ 26 = 2 remainder 5
4 26 ÷ 5 = 5 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 16325265
123 and 16119803
163 and 386194
122 and 10512810
158 and 10790

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