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Least Common Multiple (LCM) of 34 and 33

The least common multiple (LCM) of 34 and 33 is 1122.

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 34 and 33?

First, calculate the GCD of 34 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 34 ÷ 33 = 1 remainder 1
2 33 ÷ 1 = 33 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 383344
192 and 935952
184 and 1363128
43 and 291247
37 and 1274699

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