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Least Common Multiple (LCM) of 165 and 175

The least common multiple (LCM) of 165 and 175 is 5775.

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 165 and 175?

First, calculate the GCD of 165 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 175 = 0 remainder 165
2 175 ÷ 165 = 1 remainder 10
3 165 ÷ 10 = 16 remainder 5
4 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
145 and 233335
31 and 802480
168 and 17329064
115 and 627130
46 and 1403220

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