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Least Common Multiple (LCM) of 199 and 144

The least common multiple (LCM) of 199 and 144 is 28656.

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 199 and 144?

First, calculate the GCD of 199 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 199 ÷ 144 = 1 remainder 55
2 144 ÷ 55 = 2 remainder 34
3 55 ÷ 34 = 1 remainder 21
4 34 ÷ 21 = 1 remainder 13
5 21 ÷ 13 = 1 remainder 8
6 13 ÷ 8 = 1 remainder 5
7 8 ÷ 5 = 1 remainder 3
8 5 ÷ 3 = 1 remainder 2
9 3 ÷ 2 = 1 remainder 1
10 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
103 and 15916377
133 and 618113
49 and 964704
51 and 24408
75 and 39975

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