Least Common Multiple of 585, 7137
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 585, 7137 i.e. 35685 smallest integer divisible by all numbers.
Least common multiple (LCM) of 585, 7137 is 35685.
LCM(585, 7137) = 35685
LCM of 585, 7137
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 585, 7137 by common division method
- Least Common Multiple of 585, 7137 with GCF Formula
Least Common Multiple (LCM) of 585,7137 is 35685
| 3 | 585, 7137 |
| 3 | 195, 2379 |
| 13 | 65, 793 |
| 5, 61 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 5 x 61 = 35685
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 585,7137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,7137) = 117
common factors(in case of two or more numbers have common factors) = 1
GCF(585,7137) x common factors =117 x 1 = 117
LCM(585,7137) = ( 585 × 7137 ) / 117
LCM(585,7137) = 4175145 / 117
LCM(585,7137) = 35685
∴ Least Common Multiple of 585,7137 is 35685
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Frequently Asked Questions on LCM of 585, 7137
1. What is the LCM of 585, 7137?
Answer: LCM of 585, 7137 is 35685.
2. What are the Factors of 35685?
Answer: Factors of 35685 are . There are integers that are factors of 35685
3. How to Find the LCM of 585, 7137 ?
Least Common Multiple of 585, 7137.
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(585, 7137) = 3 x 3 x 5 x 13 x 61 = 35685.