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Least Common Multiple (LCM) of 123 and 34

The least common multiple (LCM) of 123 and 34 is 4182.

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 123 and 34?

First, calculate the GCD of 123 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 34 = 3 remainder 21
2 34 ÷ 21 = 1 remainder 13
3 21 ÷ 13 = 1 remainder 8
4 13 ÷ 8 = 1 remainder 5
5 8 ÷ 5 = 1 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
15 and 1392085
123 and 10913407
61 and 593599
41 and 662706
93 and 1625022

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