HowManyNumbers Logo

Least Common Multiple (LCM) of 75 and 21

The least common multiple (LCM) of 75 and 21 is 525.

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 75 and 21?

First, calculate the GCD of 75 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 21 = 3 remainder 12
2 21 ÷ 12 = 1 remainder 9
3 12 ÷ 9 = 1 remainder 3
4 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 353885
136 and 253400
63 and 1232583
34 and 1173978
65 and 291885

Try Calculating LCM of Other Numbers







Related Calculators