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Least Common Multiple (LCM) of 72 and 175

The least common multiple (LCM) of 72 and 175 is 12600.

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 72 and 175?

First, calculate the GCD of 72 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
141 and 482256
151 and 7311023
191 and 275157
138 and 13718906
104 and 14715288

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