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Least Common Multiple (LCM) of 103 and 132

The least common multiple (LCM) of 103 and 132 is 13596.

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 132?

First, calculate the GCD of 103 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 132 = 0 remainder 103
2 132 ÷ 103 = 1 remainder 29
3 103 ÷ 29 = 3 remainder 16
4 29 ÷ 16 = 1 remainder 13
5 16 ÷ 13 = 1 remainder 3
6 13 ÷ 3 = 4 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 18723188
80 and 1987920
60 and 681020
131 and 11515065
49 and 1306370

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