Least Common Multiple of 1500, 1800
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, 1800 i.e. 9000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1500, 1800 is 9000.
LCM(1500, 1800) = 9000
LCM of 1500, 1800
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 1500, 1800 by common division method
- Least Common Multiple of 1500, 1800 with GCF Formula
Least Common Multiple (LCM) of 1500,1800 is 9000
| 2 | 1500, 1800 |
| 2 | 750, 900 |
| 3 | 375, 450 |
| 5 | 125, 150 |
| 5 | 25, 30 |
| 5, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 5 x 6 = 9000
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 1500,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1500,1800) = 300
common factors(in case of two or more numbers have common factors) = 1
GCF(1500,1800) x common factors =300 x 1 = 300
LCM(1500,1800) = ( 1500 × 1800 ) / 300
LCM(1500,1800) = 2700000 / 300
LCM(1500,1800) = 9000
∴ Least Common Multiple of 1500,1800 is 9000
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, 1800
1. What is the LCM of 1500, 1800?
Answer: LCM of 1500, 1800 is 9000.
2. What are the Factors of 9000?
Answer: Factors of 9000 are . There are integers that are factors of 9000
3. How to Find the LCM of 1500, 1800 ?
Least Common Multiple of 1500, 1800.
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, 1800) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 9000.
