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Least Common Multiple (LCM) of 33 and 32

The least common multiple (LCM) of 33 and 32 is 1056.

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 33 and 32?

First, calculate the GCD of 33 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 32 = 1 remainder 1
2 32 ÷ 1 = 32 remainder 0

Examples of LCM Calculations

NumbersLCM
78 and 1726708
164 and 17929356
54 and 117702
178 and 10117978
119 and 17420706

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