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Least Common Multiple (LCM) of 57 and 25

The least common multiple (LCM) of 57 and 25 is 1425.

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 57 and 25?

First, calculate the GCD of 57 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 57 ÷ 25 = 2 remainder 7
2 25 ÷ 7 = 3 remainder 4
3 7 ÷ 4 = 1 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 9713095
158 and 16012640
200 and 32800
193 and 18335319
167 and 579519

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