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Least Common Multiple (LCM) of 153 and 25

The least common multiple (LCM) of 153 and 25 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 25?

First, calculate the GCD of 153 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 25 = 6 remainder 3
2 25 ÷ 3 = 8 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
110 and 12713970
93 and 12372
177 and 603540
100 and 160800
80 and 1242480

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