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Least Common Multiple (LCM) of 65 and 103

The least common multiple (LCM) of 65 and 103 is 6695.

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 103?

First, calculate the GCD of 65 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 103 = 0 remainder 65
2 103 ÷ 65 = 1 remainder 38
3 65 ÷ 38 = 1 remainder 27
4 38 ÷ 27 = 1 remainder 11
5 27 ÷ 11 = 2 remainder 5
6 11 ÷ 5 = 2 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
178 and 6711926
20 and 1821820
174 and 211218
77 and 19114707
190 and 11210640

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