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Least Common Multiple (LCM) of 149 and 34

The least common multiple (LCM) of 149 and 34 is 5066.

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 34?

First, calculate the GCD of 149 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 149 ÷ 34 = 4 remainder 13
2 34 ÷ 13 = 2 remainder 8
3 13 ÷ 8 = 1 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
123 and 9812054
34 and 913094
66 and 1473234
178 and 403560
102 and 1863162

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