HowManyNumbers Logo

Least Common Multiple (LCM) of 25 and 165

The least common multiple (LCM) of 25 and 165 is 825.

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 165?

First, calculate the GCD of 25 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 165 = 0 remainder 25
2 165 ÷ 25 = 6 remainder 15
3 25 ÷ 15 = 1 remainder 10
4 15 ÷ 10 = 1 remainder 5
5 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 538056
166 and 10918094
97 and 10510185
46 and 1222806
145 and 284060

Try Calculating LCM of Other Numbers







Related Calculators