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Least Common Multiple (LCM) of 109 and 149

The least common multiple (LCM) of 109 and 149 is 16241.

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 149?

First, calculate the GCD of 109 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 149 = 0 remainder 109
2 149 ÷ 109 = 1 remainder 40
3 109 ÷ 40 = 2 remainder 29
4 40 ÷ 29 = 1 remainder 11
5 29 ÷ 11 = 2 remainder 7
6 11 ÷ 7 = 1 remainder 4
7 7 ÷ 4 = 1 remainder 3
8 4 ÷ 3 = 1 remainder 1
9 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 692967
118 and 684012
122 and 16410004
123 and 18222386
50 and 1451450

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