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Least Common Multiple (LCM) of 131 and 193

The least common multiple (LCM) of 131 and 193 is 25283.

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 131 and 193?

First, calculate the GCD of 131 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 131 ÷ 193 = 0 remainder 131
2 193 ÷ 131 = 1 remainder 62
3 131 ÷ 62 = 2 remainder 7
4 62 ÷ 7 = 8 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 302190
131 and 16822008
121 and 18522385
144 and 12144
65 and 117585

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