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Least Common Multiple (LCM) of 25 and 147

The least common multiple (LCM) of 25 and 147 is 3675.

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 25 and 147?

First, calculate the GCD of 25 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 147 = 0 remainder 25
2 147 ÷ 25 = 5 remainder 22
3 25 ÷ 22 = 1 remainder 3
4 22 ÷ 3 = 7 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
57 and 1893591
123 and 12815744
64 and 1402240
120 and 12715240
81 and 15712717

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