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Least Common Multiple (LCM) of 11 and 15

The least common multiple (LCM) of 11 and 15 is 165.

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 11 and 15?

First, calculate the GCD of 11 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 11 ÷ 15 = 0 remainder 11
2 15 ÷ 11 = 1 remainder 4
3 11 ÷ 4 = 2 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
77 and 735621
70 and 1143990
103 and 919373
172 and 13122532
146 and 12876

Try Calculating LCM of Other Numbers







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