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Least Common Multiple (LCM) of 66 and 161

The least common multiple (LCM) of 66 and 161 is 10626.

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 161?

First, calculate the GCD of 66 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 161 = 0 remainder 66
2 161 ÷ 66 = 2 remainder 29
3 66 ÷ 29 = 2 remainder 8
4 29 ÷ 8 = 3 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 1263150
113 and 151695
147 and 18126607
129 and 17522575
59 and 1257375

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