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Least Common Multiple (LCM) of 133 and 17

The least common multiple (LCM) of 133 and 17 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 133 and 17?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
146 and 624526
183 and 241464
77 and 1249548
37 and 1204440
68 and 1238364

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