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Least Common Multiple (LCM) of 186 and 41

The least common multiple (LCM) of 186 and 41 is 7626.

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 186 and 41?

First, calculate the GCD of 186 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 186 ÷ 41 = 4 remainder 22
2 41 ÷ 22 = 1 remainder 19
3 22 ÷ 19 = 1 remainder 3
4 19 ÷ 3 = 6 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 832158
26 and 1802340
128 and 354480
39 and 25975
15 and 41615

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