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Least Common Multiple (LCM) of 103 and 175

The least common multiple (LCM) of 103 and 175 is 18025.

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 103 and 175?

First, calculate the GCD of 103 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 175 = 0 remainder 103
2 175 ÷ 103 = 1 remainder 72
3 103 ÷ 72 = 1 remainder 31
4 72 ÷ 31 = 2 remainder 10
5 31 ÷ 10 = 3 remainder 1
6 10 ÷ 1 = 10 remainder 0

Examples of LCM Calculations

NumbersLCM
49 and 1035047
82 and 1199758
114 and 1174446
68 and 18512580
31 and 1494619

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