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Least Common Multiple (LCM) of 109 and 134

The least common multiple (LCM) of 109 and 134 is 14606.

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 109 and 134?

First, calculate the GCD of 109 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 134 = 0 remainder 109
2 134 ÷ 109 = 1 remainder 25
3 109 ÷ 25 = 4 remainder 9
4 25 ÷ 9 = 2 remainder 7
5 9 ÷ 7 = 1 remainder 2
6 7 ÷ 2 = 3 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 374884
122 and 583538
77 and 513927
158 and 13120698
19 and 1623078

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