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Least Common Multiple (LCM) of 149 and 106

The least common multiple (LCM) of 149 and 106 is 15794.

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 106?

First, calculate the GCD of 149 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 149 ÷ 106 = 1 remainder 43
2 106 ÷ 43 = 2 remainder 20
3 43 ÷ 20 = 2 remainder 3
4 20 ÷ 3 = 6 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 682380
39 and 1726708
75 and 14811100
150 and 1101650
104 and 15916536

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