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Least Common Multiple (LCM) of 109 and 41

The least common multiple (LCM) of 109 and 41 is 4469.

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 109 and 41?

First, calculate the GCD of 109 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 41 = 2 remainder 27
2 41 ÷ 27 = 1 remainder 14
3 27 ÷ 14 = 1 remainder 13
4 14 ÷ 13 = 1 remainder 1
5 13 ÷ 1 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 35455
151 and 17426274
152 and 423192
126 and 1348442
43 and 1626966

Try Calculating LCM of Other Numbers







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