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Least Common Multiple (LCM) of 83 and 20

The least common multiple (LCM) of 83 and 20 is 1660.

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 83 and 20?

First, calculate the GCD of 83 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 20 = 4 remainder 3
2 20 ÷ 3 = 6 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 1051470
13 and 1612093
12 and 74444
96 and 19718912
189 and 11321357

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