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Least Common Multiple (LCM) of 17 and 133

The least common multiple (LCM) of 17 and 133 is 2261.

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 17 and 133?

First, calculate the GCD of 17 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 133 = 0 remainder 17
2 133 ÷ 17 = 7 remainder 14
3 17 ÷ 14 = 1 remainder 3
4 14 ÷ 3 = 4 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
76 and 1442736
173 and 19032870
30 and 1013030
96 and 1909120
16 and 1011616

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