Least Common Multiple of 4486 and 4491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4486 and 4491 the smallest integer that is 20146626 that is divisible by both numbers.

Least Common Multiple (LCM) of 4486 and 4491 is 20146626.

LCM(4486,4491) = 20146626

LCM of 4486 and 4491

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4486 and 4491

LCM of 4486 and 4491 is 20146626

Least common multiple can be found by multiplying the highest exponent prime factors of 4486 and 4491. First we will calculate the prime factors of 4486 and 4491.

Prime Factorization of 4486


2 4486
2243 2243
1

Prime factors of 4486 are 2,2243. Prime factorization of 4486 in exponential form is:

4486 = 21×22431

Prime Factorization of 4491


3 4491
3 1497
499 499
1

Prime factors of 4491 are 3,499. Prime factorization of 4491 in exponential form is:

4491 = 32×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 4486 and 4491.

LCM(4486,4491) = 21×32×4991×22431
LCM(4486,4491) = 20146626

Factors of 4486

List of positive integer factors of 4486 that divides 4486 without a remainder.

1, 2, 2243, 4486

Factors of 4491

List of positive integer factors of 4491 that divides 4491 without a remainder.

1, 3, 9, 499, 1497, 4491

Least Common Multiple of 4486 and 4491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4486 and 4491, than apply into the LCM equation.

GCF(4486,4491) = 1
LCM(4486,4491) = ( 4486 × 4491) / 1
LCM(4486,4491) = 20146626 / 1
LCM(4486,4491) = 20146626

Properties of LCM 4486 and 4491

(i) The LCM of 4491 and 4486 is associative

LCM of 4486 and 4491 = LCM of 4491 and 4486

Related Least Common Multiples of 4486

Related Least Common Multiples of 4491

Frequently Asked Questions on LCM of 4486 and 4491

1. What is the LCM of 4486 and 4491?

Answer: LCM of 4486 and 4491 is 20146626.

2. What are the Factors of 4486?

Answer: Factors of 4486 are 1, 2, 2243, 4486. There are 4 integers that are factors of 4486. The greatest factor of 4486 is 4486.

3. What are the Factors of 4491?

Answer: Factors of 4491 are 1, 3, 9, 499, 1497, 4491. There are 6 integers that are factors of 4491. The greatest factor of 4491 is 4491.

4. How to Find the LCM of 4486 and 4491?

Answer:

Least Common Multiple of 4486 and 4491 = 20146626

Step 1: Find the prime factorization of 4486

4486 = 2 x 2243

Step 2: Find the prime factorization of 4491

4491 = 3 x 3 x 499

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20146626 = 2 x 3 x 3 x 499 x 2243

Step 4: Therefore, the least common multiple of 4486 and 4491 is 20146626.