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Least Common Multiple (LCM) of 161 and 117

The least common multiple (LCM) of 161 and 117 is 18837.

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 161 and 117?

First, calculate the GCD of 161 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 117 = 1 remainder 44
2 117 ÷ 44 = 2 remainder 29
3 44 ÷ 29 = 1 remainder 15
4 29 ÷ 15 = 1 remainder 14
5 15 ÷ 14 = 1 remainder 1
6 14 ÷ 1 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 11017490
74 and 983626
44 and 1255500
22 and 4444
25 and 1213025

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