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Least Common Multiple (LCM) of 149 and 55

The least common multiple (LCM) of 149 and 55 is 8195.

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 149 and 55?

First, calculate the GCD of 149 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 149 ÷ 55 = 2 remainder 39
2 55 ÷ 39 = 1 remainder 16
3 39 ÷ 16 = 2 remainder 7
4 16 ÷ 7 = 2 remainder 2
5 7 ÷ 2 = 3 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 12720066
95 and 15815010
69 and 30690
124 and 11314012
121 and 718591

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