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Least Common Multiple (LCM) of 181 and 57

The least common multiple (LCM) of 181 and 57 is 10317.

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 57?

First, calculate the GCD of 181 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 181 ÷ 57 = 3 remainder 10
2 57 ÷ 10 = 5 remainder 7
3 10 ÷ 7 = 1 remainder 3
4 7 ÷ 3 = 2 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 12219642
172 and 544644
47 and 1828554
99 and 15515345
27 and 108108

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