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Least Common Multiple (LCM) of 25 and 53

The least common multiple (LCM) of 25 and 53 is 1325.

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 53?

First, calculate the GCD of 25 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 53 = 0 remainder 25
2 53 ÷ 25 = 2 remainder 3
3 25 ÷ 3 = 8 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
80 and 16713360
158 and 14011060
21 and 11231
105 and 541890
176 and 254400

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