Least Common Multiple of 870, 6612
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 870, 6612 i.e. 33060 smallest integer divisible by all numbers.
Least common multiple (LCM) of 870, 6612 is 33060.
LCM(870, 6612) = 33060
LCM of 870, 6612
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 870, 6612 by common division method
- Least Common Multiple of 870, 6612 with GCF Formula
Least Common Multiple (LCM) of 870,6612 is 33060
| 2 | 870, 6612 |
| 3 | 435, 3306 |
| 29 | 145, 1102 |
| 5, 38 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 38 = 33060
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 870,6612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,6612) = 174
common factors(in case of two or more numbers have common factors) = 1
GCF(870,6612) x common factors =174 x 1 = 174
LCM(870,6612) = ( 870 × 6612 ) / 174
LCM(870,6612) = 5752440 / 174
LCM(870,6612) = 33060
∴ Least Common Multiple of 870,6612 is 33060
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Frequently Asked Questions on LCM of 870, 6612
1. What is the LCM of 870, 6612?
Answer: LCM of 870, 6612 is 33060.
2. What are the Factors of 33060?
Answer: Factors of 33060 are . There are integers that are factors of 33060
3. How to Find the LCM of 870, 6612 ?
Least Common Multiple of 870, 6612.
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(870, 6612) = 2 x 2 x 3 x 5 x 19 x 29 = 33060.