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Least Common Multiple (LCM) of 175 and 128

The least common multiple (LCM) of 175 and 128 is 22400.

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 175 and 128?

First, calculate the GCD of 175 and 128 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 128 = 1 remainder 47
2 128 ÷ 47 = 2 remainder 34
3 47 ÷ 34 = 1 remainder 13
4 34 ÷ 13 = 2 remainder 8
5 13 ÷ 8 = 1 remainder 5
6 8 ÷ 5 = 1 remainder 3
7 5 ÷ 3 = 1 remainder 2
8 3 ÷ 2 = 1 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 12122869
157 and 16025120
107 and 717597
20 and 1461460
129 and 8010320

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