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Least Common Multiple (LCM) of 181 and 96

The least common multiple (LCM) of 181 and 96 is 17376.

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 181 and 96?

First, calculate the GCD of 181 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 96 = 1 remainder 85
2 96 ÷ 85 = 1 remainder 11
3 85 ÷ 11 = 7 remainder 8
4 11 ÷ 8 = 1 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
129 and 131677
191 and 10019100
125 and 1553875
178 and 16214418
134 and 14919966

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