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Least Common Multiple (LCM) of 197 and 60

The least common multiple (LCM) of 197 and 60 is 11820.

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 197 and 60?

First, calculate the GCD of 197 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 60 = 3 remainder 17
2 60 ÷ 17 = 3 remainder 9
3 17 ÷ 9 = 1 remainder 8
4 9 ÷ 8 = 1 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 1742262
67 and 1469782
159 and 223498
179 and 11019690
143 and 19027170

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