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Least Common Multiple (LCM) of 51 and 60

The least common multiple (LCM) of 51 and 60 is 1020.

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 51 and 60?

First, calculate the GCD of 51 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 51 ÷ 60 = 0 remainder 51
2 60 ÷ 51 = 1 remainder 9
3 51 ÷ 9 = 5 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
165 and 482640
147 and 1024998
74 and 1565772
116 and 663828
77 and 1299933

Try Calculating LCM of Other Numbers







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