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Least Common Multiple (LCM) of 41 and 147

The least common multiple (LCM) of 41 and 147 is 6027.

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 41 and 147?

First, calculate the GCD of 41 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 41 ÷ 147 = 0 remainder 41
2 147 ÷ 41 = 3 remainder 24
3 41 ÷ 24 = 1 remainder 17
4 24 ÷ 17 = 1 remainder 7
5 17 ÷ 7 = 2 remainder 3
6 7 ÷ 3 = 2 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 1878041
56 and 501400
141 and 659165
97 and 868342
182 and 19735854

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