Least Common Multiple of 2300, 2415
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 2300, 2415 i.e. 48300 smallest integer divisible by all numbers.
Least common multiple (LCM) of 2300, 2415 is 48300.
LCM(2300, 2415) = 48300
LCM of 2300, 2415
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 2300, 2415 by common division method
- Least Common Multiple of 2300, 2415 with GCF Formula
Least Common Multiple (LCM) of 2300,2415 is 48300
| 5 | 2300, 2415 |
| 23 | 460, 483 |
| 20, 21 |
∴ So the LCM of the given numbers is 5 x 23 x 20 x 21 = 48300
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 2300,2415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2300,2415) = 115
common factors(in case of two or more numbers have common factors) = 1
GCF(2300,2415) x common factors =115 x 1 = 115
LCM(2300,2415) = ( 2300 × 2415 ) / 115
LCM(2300,2415) = 5554500 / 115
LCM(2300,2415) = 48300
∴ Least Common Multiple of 2300,2415 is 48300
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 2300, 2415
1. What is the LCM of 2300, 2415?
Answer: LCM of 2300, 2415 is 48300.
2. What are the Factors of 48300?
Answer: Factors of 48300 are . There are integers that are factors of 48300
3. How to Find the LCM of 2300, 2415 ?
Least Common Multiple of 2300, 2415.
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(2300, 2415) = 2 x 2 x 3 x 5 x 5 x 7 x 23 = 48300.