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Least Common Multiple (LCM) of 17 and 149

The least common multiple (LCM) of 17 and 149 is 2533.

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 149?

First, calculate the GCD of 17 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 17 ÷ 149 = 0 remainder 17
2 149 ÷ 17 = 8 remainder 13
3 17 ÷ 13 = 1 remainder 4
4 13 ÷ 4 = 3 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 176880
169 and 10517745
152 and 335016
126 and 15719782
190 and 12211590

Try Calculating LCM of Other Numbers







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