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Least Common Multiple (LCM) of 26 and 15

The least common multiple (LCM) of 26 and 15 is 390.

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 26 and 15?

First, calculate the GCD of 26 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 26 ÷ 15 = 1 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
99 and 22198
178 and 519078
198 and 479306
22 and 972134
30 and 96480

Try Calculating LCM of Other Numbers







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