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Least Common Multiple (LCM) of 43 and 177

The least common multiple (LCM) of 43 and 177 is 7611.

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 43 and 177?

First, calculate the GCD of 43 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 43 ÷ 177 = 0 remainder 43
2 177 ÷ 43 = 4 remainder 5
3 43 ÷ 5 = 8 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
191 and 8015280
17 and 56952
101 and 252525
37 and 1013737
198 and 14929502

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