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Least Common Multiple (LCM) of 175 and 153

The least common multiple (LCM) of 175 and 153 is 26775.

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 153?

First, calculate the GCD of 175 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 175 ÷ 153 = 1 remainder 22
2 153 ÷ 22 = 6 remainder 21
3 22 ÷ 21 = 1 remainder 1
4 21 ÷ 1 = 21 remainder 0

Examples of LCM Calculations

NumbersLCM
190 and 15930210
71 and 10710
79 and 15912561
42 and 72504
200 and 7915800

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