HowManyNumbers Logo

Least Common Multiple (LCM) of 28 and 65

The least common multiple (LCM) of 28 and 65 is 1820.

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 28 and 65?

First, calculate the GCD of 28 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 28 ÷ 65 = 0 remainder 28
2 65 ÷ 28 = 2 remainder 9
3 28 ÷ 9 = 3 remainder 1
4 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 1965684
184 and 356440
130 and 1529880
75 and 40600
15 and 1191785

Try Calculating LCM of Other Numbers







Related Calculators