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Least Common Multiple (LCM) of 175 and 53

The least common multiple (LCM) of 175 and 53 is 9275.

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 53?

First, calculate the GCD of 175 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 53 = 3 remainder 16
2 53 ÷ 16 = 3 remainder 5
3 16 ÷ 5 = 3 remainder 1
4 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
183 and 13424522
31 and 13403
129 and 526708
25 and 31775
77 and 19515015

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