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Least Common Multiple (LCM) of 83 and 51

The least common multiple (LCM) of 83 and 51 is 4233.

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 51?

First, calculate the GCD of 83 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 51 = 1 remainder 32
2 51 ÷ 32 = 1 remainder 19
3 32 ÷ 19 = 1 remainder 13
4 19 ÷ 13 = 1 remainder 6
5 13 ÷ 6 = 2 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
196 and 8316268
97 and 18017460
21 and 1042184
177 and 254425
17 and 28476

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