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Least Common Multiple (LCM) of 77 and 15

The least common multiple (LCM) of 77 and 15 is 1155.

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 77 and 15?

First, calculate the GCD of 77 and 15 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 15 = 5 remainder 2
2 15 ÷ 2 = 7 remainder 1
3 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 12721971
183 and 203660
148 and 642368
26 and 711846
172 and 383268

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