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Least Common Multiple (LCM) of 60 and 186

The least common multiple (LCM) of 60 and 186 is 1860.

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 186?

First, calculate the GCD of 60 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 60 ÷ 186 = 0 remainder 60
2 186 ÷ 60 = 3 remainder 6
3 60 ÷ 6 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 19718715
60 and 19711820
39 and 1742262
43 and 472021
70 and 1278890

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