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Least Common Multiple (LCM) of 115 and 134

The least common multiple (LCM) of 115 and 134 is 15410.

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 115 and 134?

First, calculate the GCD of 115 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 115 ÷ 134 = 0 remainder 115
2 134 ÷ 115 = 1 remainder 19
3 115 ÷ 19 = 6 remainder 1
4 19 ÷ 1 = 19 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 401240
137 and 679179
158 and 9715326
20 and 25100
27 and 741998

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