Least Common Multiple of 1500, 1875
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 1500, 1875 i.e. 7500 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1500, 1875 is 7500.
LCM(1500, 1875) = 7500
LCM of 1500, 1875
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 1500, 1875 by common division method
- Least Common Multiple of 1500, 1875 with GCF Formula
Least Common Multiple (LCM) of 1500,1875 is 7500
| 3 | 1500, 1875 |
| 5 | 500, 625 |
| 5 | 100, 125 |
| 5 | 20, 25 |
| 4, 5 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 5 x 4 x 5 = 7500
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 1500,1875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1500,1875) = 375
common factors(in case of two or more numbers have common factors) = 1
GCF(1500,1875) x common factors =375 x 1 = 375
LCM(1500,1875) = ( 1500 × 1875 ) / 375
LCM(1500,1875) = 2812500 / 375
LCM(1500,1875) = 7500
∴ Least Common Multiple of 1500,1875 is 7500
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 1500, 1875
1. What is the LCM of 1500, 1875?
Answer: LCM of 1500, 1875 is 7500.
2. What are the Factors of 7500?
Answer: Factors of 7500 are . There are integers that are factors of 7500
3. How to Find the LCM of 1500, 1875 ?
Least Common Multiple of 1500, 1875.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(1500, 1875) = 2 x 2 x 3 x 5 x 5 x 5 x 5 = 7500.
