Least Common Multiple of 4005, 8460
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 4005, 8460 i.e. 752940 smallest integer divisible by all numbers.
Least common multiple (LCM) of 4005, 8460 is 752940.
LCM(4005, 8460) = 752940
LCM of 4005, 8460
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 4005, 8460 by common division method
- Least Common Multiple of 4005, 8460 with GCF Formula
Least Common Multiple (LCM) of 4005,8460 is 752940
| 3 | 4005, 8460 |
| 3 | 1335, 2820 |
| 5 | 445, 940 |
| 89, 188 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 89 x 188 = 752940
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 4005,8460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4005,8460) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(4005,8460) x common factors =45 x 1 = 45
LCM(4005,8460) = ( 4005 × 8460 ) / 45
LCM(4005,8460) = 33882300 / 45
LCM(4005,8460) = 752940
∴ Least Common Multiple of 4005,8460 is 752940
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Frequently Asked Questions on LCM of 4005, 8460
1. What is the LCM of 4005, 8460?
Answer: LCM of 4005, 8460 is 752940.
2. What are the Factors of 752940?
Answer: Factors of 752940 are . There are integers that are factors of 752940
3. How to Find the LCM of 4005, 8460 ?
Least Common Multiple of 4005, 8460.
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(4005, 8460) = 2 x 2 x 3 x 3 x 5 x 47 x 89 = 752940.