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Least Common Multiple (LCM) of 33 and 152

The least common multiple (LCM) of 33 and 152 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 33 and 152?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
120 and 985880
190 and 801520
74 and 963552
96 and 341632
23 and 1693887

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