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Least Common Multiple (LCM) of 17 and 88

The least common multiple (LCM) of 17 and 88 is 1496.

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 88?

First, calculate the GCD of 17 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 88 = 0 remainder 17
2 88 ÷ 17 = 5 remainder 3
3 17 ÷ 3 = 5 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
155 and 551705
92 and 721656
57 and 885016
39 and 381482
168 and 1362856

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