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Least Common Multiple (LCM) of 99 and 41

The least common multiple (LCM) of 99 and 41 is 4059.

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 99 and 41?

First, calculate the GCD of 99 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 41 = 2 remainder 17
2 41 ÷ 17 = 2 remainder 7
3 17 ÷ 7 = 2 remainder 3
4 7 ÷ 3 = 2 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
10 and 91910
134 and 374958
20 and 1793580
59 and 1126608
90 and 1064770

Try Calculating LCM of Other Numbers







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