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Least Common Multiple (LCM) of 181 and 85

The least common multiple (LCM) of 181 and 85 is 15385.

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 85?

First, calculate the GCD of 181 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
91 and 841092
147 and 42294
35 and 1364760
122 and 11914518
147 and 813969

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