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Least Common Multiple (LCM) of 65 and 11

The least common multiple (LCM) of 65 and 11 is 715.

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 11?

First, calculate the GCD of 65 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 11 = 5 remainder 10
2 11 ÷ 10 = 1 remainder 1
3 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
69 and 17211868
180 and 15728260
133 and 15821014
98 and 18882
90 and 683060

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