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Least Common Multiple (LCM) of 17 and 44

The least common multiple (LCM) of 17 and 44 is 748.

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 44?

First, calculate the GCD of 17 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 44 = 0 remainder 17
2 44 ÷ 17 = 2 remainder 10
3 17 ÷ 10 = 1 remainder 7
4 10 ÷ 7 = 1 remainder 3
5 7 ÷ 3 = 2 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
59 and 18711033
125 and 952375
131 and 10413624
97 and 595723
178 and 6511570

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