Least Common Multiple of 825, 2145
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 825, 2145 i.e. 10725 smallest integer divisible by all numbers.
Least common multiple (LCM) of 825, 2145 is 10725.
LCM(825, 2145) = 10725
LCM of 825, 2145
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 825, 2145 by common division method
- Least Common Multiple of 825, 2145 with GCF Formula
Least Common Multiple (LCM) of 825,2145 is 10725
| 3 | 825, 2145 |
| 5 | 275, 715 |
| 11 | 55, 143 |
| 5, 13 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 5 x 13 = 10725
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 825,2145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,2145) = 165
common factors(in case of two or more numbers have common factors) = 1
GCF(825,2145) x common factors =165 x 1 = 165
LCM(825,2145) = ( 825 × 2145 ) / 165
LCM(825,2145) = 1769625 / 165
LCM(825,2145) = 10725
∴ Least Common Multiple of 825,2145 is 10725
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Frequently Asked Questions on LCM of 825, 2145
1. What is the LCM of 825, 2145?
Answer: LCM of 825, 2145 is 10725.
2. What are the Factors of 10725?
Answer: Factors of 10725 are . There are integers that are factors of 10725
3. How to Find the LCM of 825, 2145 ?
Least Common Multiple of 825, 2145.
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(825, 2145) = 3 x 5 x 5 x 11 x 13 = 10725.