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Least Common Multiple (LCM) of 153 and 75

The least common multiple (LCM) of 153 and 75 is 3825.

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 153 and 75?

First, calculate the GCD of 153 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 75 = 2 remainder 3
2 75 ÷ 3 = 25 remainder 0

Examples of LCM Calculations

NumbersLCM
193 and 14227406
191 and 336303
28 and 60420
82 and 522132
29 and 461334

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