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Least Common Multiple (LCM) of 134 and 91

The least common multiple (LCM) of 134 and 91 is 12194.

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 134 and 91?

First, calculate the GCD of 134 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 91 = 1 remainder 43
2 91 ÷ 43 = 2 remainder 5
3 43 ÷ 5 = 8 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 2004200
50 and 481200
128 and 1308320
103 and 9910197
148 and 416068

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