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Least Common Multiple (LCM) of 13 and 110

The least common multiple (LCM) of 13 and 110 is 1430.

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 110?

First, calculate the GCD of 13 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 110 = 0 remainder 13
2 110 ÷ 13 = 8 remainder 6
3 13 ÷ 6 = 2 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
125 and 415125
125 and 10913625
50 and 521300
64 and 26832
133 and 749842

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