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Least Common Multiple (LCM) of 60 and 77

The least common multiple (LCM) of 60 and 77 is 4620.

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 60 and 77?

First, calculate the GCD of 60 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 60 ÷ 77 = 0 remainder 60
2 77 ÷ 60 = 1 remainder 17
3 60 ÷ 17 = 3 remainder 9
4 17 ÷ 9 = 1 remainder 8
5 9 ÷ 8 = 1 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
93 and 1685208
22 and 1773894
187 and 478789
70 and 271890
189 and 15128539

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