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Least Common Multiple (LCM) of 13 and 115

The least common multiple (LCM) of 13 and 115 is 1495.

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 13 and 115?

First, calculate the GCD of 13 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 115 = 0 remainder 13
2 115 ÷ 13 = 8 remainder 11
3 13 ÷ 11 = 1 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 12210004
93 and 19618228
42 and 761596
122 and 232806
22 and 16176

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