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Least Common Multiple (LCM) of 17 and 41

The least common multiple (LCM) of 17 and 41 is 697.

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 41?

First, calculate the GCD of 17 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 41 = 0 remainder 17
2 41 ÷ 17 = 2 remainder 7
3 17 ÷ 7 = 2 remainder 3
4 7 ÷ 3 = 2 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 213927
148 and 18927972
149 and 10315347
104 and 13313832
115 and 283220

Try Calculating LCM of Other Numbers







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