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Least Common Multiple (LCM) of 65 and 149

The least common multiple (LCM) of 65 and 149 is 9685.

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 65 and 149?

First, calculate the GCD of 65 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 149 = 0 remainder 65
2 149 ÷ 65 = 2 remainder 19
3 65 ÷ 19 = 3 remainder 8
4 19 ÷ 8 = 2 remainder 3
5 8 ÷ 3 = 2 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 451530
166 and 8514110
101 and 14714847
59 and 14826
31 and 1494619

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