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Least Common Multiple (LCM) of 33 and 120

The least common multiple (LCM) of 33 and 120 is 1320.

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 120?

First, calculate the GCD of 33 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 120 = 0 remainder 33
2 120 ÷ 33 = 3 remainder 21
3 33 ÷ 21 = 1 remainder 12
4 21 ÷ 12 = 1 remainder 9
5 12 ÷ 9 = 1 remainder 3
6 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
47 and 1567332
62 and 291798
44 and 621364
177 and 513009
109 and 12013080

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