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Least Common Multiple (LCM) of 66 and 113

The least common multiple (LCM) of 66 and 113 is 7458.

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 66 and 113?

First, calculate the GCD of 66 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 113 = 0 remainder 66
2 113 ÷ 66 = 1 remainder 47
3 66 ÷ 47 = 1 remainder 19
4 47 ÷ 19 = 2 remainder 9
5 19 ÷ 9 = 2 remainder 1
6 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
126 and 523276
18 and 144144
25 and 65325
183 and 7914457
86 and 1038858

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