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Least Common Multiple (LCM) of 103 and 138

The least common multiple (LCM) of 103 and 138 is 14214.

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 103 and 138?

First, calculate the GCD of 103 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 138 = 0 remainder 103
2 138 ÷ 103 = 1 remainder 35
3 103 ÷ 35 = 2 remainder 33
4 35 ÷ 33 = 1 remainder 2
5 33 ÷ 2 = 16 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
191 and 468786
200 and 522600
186 and 1009300
78 and 682652
98 and 1467154

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