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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
142 and 704970
162 and 927452
44 and 512244
47 and 13611
137 and 314247

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