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Least Common Multiple (LCM) of 77 and 181

The least common multiple (LCM) of 77 and 181 is 13937.

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 77 and 181?

First, calculate the GCD of 77 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 181 = 0 remainder 77
2 181 ÷ 77 = 2 remainder 27
3 77 ÷ 27 = 2 remainder 23
4 27 ÷ 23 = 1 remainder 4
5 23 ÷ 4 = 5 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
159 and 17227348
107 and 19420758
88 and 1403080
75 and 1902850
66 and 372442

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