Least Common Multiple of 6825, 1575
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 6825, 1575 i.e. 20475 smallest integer divisible by all numbers.
Least common multiple (LCM) of 6825, 1575 is 20475.
LCM(6825, 1575) = 20475
LCM of 6825, 1575
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 6825, 1575 by common division method
- Least Common Multiple of 6825, 1575 with GCF Formula
Least Common Multiple (LCM) of 6825,1575 is 20475
| 3 | 6825, 1575 |
| 5 | 2275, 525 |
| 5 | 455, 105 |
| 7 | 91, 21 |
| 13, 3 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 7 x 13 x 3 = 20475
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 6825,1575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6825,1575) = 525
common factors(in case of two or more numbers have common factors) = 1
GCF(6825,1575) x common factors =525 x 1 = 525
LCM(6825,1575) = ( 6825 × 1575 ) / 525
LCM(6825,1575) = 10749375 / 525
LCM(6825,1575) = 20475
∴ Least Common Multiple of 6825,1575 is 20475
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 6825, 1575
1. What is the LCM of 6825, 1575?
Answer: LCM of 6825, 1575 is 20475.
2. What are the Factors of 20475?
Answer: Factors of 20475 are . There are integers that are factors of 20475
3. How to Find the LCM of 6825, 1575 ?
Least Common Multiple of 6825, 1575.
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(6825, 1575) = 3 x 3 x 5 x 5 x 7 x 13 = 20475.