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Least Common Multiple (LCM) of 65 and 83

The least common multiple (LCM) of 65 and 83 is 5395.

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 65 and 83?

First, calculate the GCD of 65 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 83 = 0 remainder 65
2 83 ÷ 65 = 1 remainder 18
3 65 ÷ 18 = 3 remainder 11
4 18 ÷ 11 = 1 remainder 7
5 11 ÷ 7 = 1 remainder 4
6 7 ÷ 4 = 1 remainder 3
7 4 ÷ 3 = 1 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 14721756
29 and 712059
57 and 19911343
149 and 18828012
165 and 1351485

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