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Least Common Multiple (LCM) of 134 and 193

The least common multiple (LCM) of 134 and 193 is 25862.

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 193?

First, calculate the GCD of 134 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 193 = 0 remainder 134
2 193 ÷ 134 = 1 remainder 59
3 134 ÷ 59 = 2 remainder 16
4 59 ÷ 16 = 3 remainder 11
5 16 ÷ 11 = 1 remainder 5
6 11 ÷ 5 = 2 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
113 and 15917967
139 and 8411676
171 and 1893591
10 and 75150
124 and 17010540

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