HowManyNumbers Logo

Least Common Multiple (LCM) of 25 and 55

The least common multiple (LCM) of 25 and 55 is 275.

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 55?

First, calculate the GCD of 25 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 55 = 0 remainder 25
2 55 ÷ 25 = 2 remainder 5
3 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 10110605
184 and 152760
165 and 1801980
174 and 383306
115 and 1403220

Try Calculating LCM of Other Numbers







Related Calculators