HowManyNumbers Logo

Least Common Multiple (LCM) of 10 and 75

The least common multiple (LCM) of 10 and 75 is 150.

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 10 and 75?

First, calculate the GCD of 10 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 75 = 0 remainder 10
2 75 ÷ 10 = 7 remainder 5
3 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
12 and 1391668
177 and 7713629
119 and 12715113
58 and 472726
34 and 36612

Try Calculating LCM of Other Numbers







Related Calculators