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Least Common Multiple (LCM) of 13 and 32

The least common multiple (LCM) of 13 and 32 is 416.

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 32?

First, calculate the GCD of 13 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 32 = 0 remainder 13
2 32 ÷ 13 = 2 remainder 6
3 13 ÷ 6 = 2 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 921196
128 and 96384
72 and 312232
143 and 8512155
44 and 873828

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