Least Common Multiple of 1587, 3795
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 1587, 3795 i.e. 87285 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1587, 3795 is 87285.
LCM(1587, 3795) = 87285
LCM of 1587, 3795
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 1587, 3795 by common division method
- Least Common Multiple of 1587, 3795 with GCF Formula
Least Common Multiple (LCM) of 1587,3795 is 87285
| 3 | 1587, 3795 |
| 23 | 529, 1265 |
| 23, 55 |
∴ So the LCM of the given numbers is 3 x 23 x 23 x 55 = 87285
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 1587,3795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1587,3795) = 69
common factors(in case of two or more numbers have common factors) = 1
GCF(1587,3795) x common factors =69 x 1 = 69
LCM(1587,3795) = ( 1587 × 3795 ) / 69
LCM(1587,3795) = 6022665 / 69
LCM(1587,3795) = 87285
∴ Least Common Multiple of 1587,3795 is 87285
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 1587, 3795
1. What is the LCM of 1587, 3795?
Answer: LCM of 1587, 3795 is 87285.
2. What are the Factors of 87285?
Answer: Factors of 87285 are . There are integers that are factors of 87285
3. How to Find the LCM of 1587, 3795 ?
Least Common Multiple of 1587, 3795.
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(1587, 3795) = 3 x 5 x 11 x 23 x 23 = 87285.