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Least Common Multiple (LCM) of 191 and 60

The least common multiple (LCM) of 191 and 60 is 11460.

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 191 and 60?

First, calculate the GCD of 191 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 191 ÷ 60 = 3 remainder 11
2 60 ÷ 11 = 5 remainder 5
3 11 ÷ 5 = 2 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
130 and 12716510
167 and 7412358
150 and 765700
108 and 1363672
28 and 31868

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