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Least Common Multiple (LCM) of 152 and 33

The least common multiple (LCM) of 152 and 33 is 5016.

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 152 and 33?

First, calculate the GCD of 152 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 152 ÷ 33 = 4 remainder 20
2 33 ÷ 20 = 1 remainder 13
3 20 ÷ 13 = 1 remainder 7
4 13 ÷ 7 = 1 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
160 and 80160
56 and 19110696
147 and 446468
38 and 561064
39 and 983822

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