Least Common Multiple of 1785, 6069
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 1785, 6069 i.e. 30345 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1785, 6069 is 30345.
LCM(1785, 6069) = 30345
LCM of 1785, 6069
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 1785, 6069 by common division method
- Least Common Multiple of 1785, 6069 with GCF Formula
Least Common Multiple (LCM) of 1785,6069 is 30345
| 3 | 1785, 6069 |
| 7 | 595, 2023 |
| 17 | 85, 289 |
| 5, 17 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 5 x 17 = 30345
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 1785,6069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1785,6069) = 357
common factors(in case of two or more numbers have common factors) = 1
GCF(1785,6069) x common factors =357 x 1 = 357
LCM(1785,6069) = ( 1785 × 6069 ) / 357
LCM(1785,6069) = 10833165 / 357
LCM(1785,6069) = 30345
∴ Least Common Multiple of 1785,6069 is 30345
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 1785, 6069
1. What is the LCM of 1785, 6069?
Answer: LCM of 1785, 6069 is 30345.
2. What are the Factors of 30345?
Answer: Factors of 30345 are . There are integers that are factors of 30345
3. How to Find the LCM of 1785, 6069 ?
Least Common Multiple of 1785, 6069.
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(1785, 6069) = 3 x 5 x 7 x 17 x 17 = 30345.