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Least Common Multiple (LCM) of 114 and 13

The least common multiple (LCM) of 114 and 13 is 1482.

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 114 and 13?

First, calculate the GCD of 114 and 13 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 114 ÷ 13 = 8 remainder 10
2 13 ÷ 10 = 1 remainder 3
3 10 ÷ 3 = 3 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
129 and 283612
36 and 1861116
132 and 44132
174 and 782262
173 and 6110553

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