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Least Common Multiple (LCM) of 33 and 97

The least common multiple (LCM) of 33 and 97 is 3201.

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 97?

First, calculate the GCD of 33 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 97 = 0 remainder 33
2 97 ÷ 33 = 2 remainder 31
3 33 ÷ 31 = 1 remainder 2
4 31 ÷ 2 = 15 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
54 and 581566
110 and 10311330
106 and 757950
187 and 11120757
185 and 112035

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