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Least Common Multiple (LCM) of 99 and 151

The least common multiple (LCM) of 99 and 151 is 14949.

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 151?

First, calculate the GCD of 99 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 151 = 0 remainder 99
2 151 ÷ 99 = 1 remainder 52
3 99 ÷ 52 = 1 remainder 47
4 52 ÷ 47 = 1 remainder 5
5 47 ÷ 5 = 9 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
107 and 515457
122 and 17521350
137 and 15821646
153 and 203060
95 and 17816910

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