Least Common Multiple of 4487 and 4493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4487 and 4493 the smallest integer that is 20160091 that is divisible by both numbers.

Least Common Multiple (LCM) of 4487 and 4493 is 20160091.

LCM(4487,4493) = 20160091

LCM of 4487 and 4493

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

LCM of:
and

Least Common Multiple of 4487 and 4493

LCM of 4487 and 4493 is 20160091

Least common multiple can be found by multiplying the highest exponent prime factors of 4487 and 4493. First we will calculate the prime factors of 4487 and 4493.

Prime Factorization of 4487


7 4487
641 641
1

Prime factors of 4487 are 7,641. Prime factorization of 4487 in exponential form is:

4487 = 71×6411

Prime Factorization of 4493


4493 4493
1

Prime factors of 4493 are 4493. Prime factorization of 4493 in exponential form is:

4493 = 44931

Now multiplying the highest exponent prime factors to calculate the LCM of 4487 and 4493.

LCM(4487,4493) = 71×6411×44931
LCM(4487,4493) = 20160091

Factors of 4487

List of positive integer factors of 4487 that divides 4487 without a remainder.

1, 7, 641, 4487

Factors of 4493

List of positive integer factors of 4493 that divides 4493 without a remainder.

1, 4493

Least Common Multiple of 4487 and 4493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4487 and 4493, than apply into the LCM equation.

GCF(4487,4493) = 1
LCM(4487,4493) = ( 4487 × 4493) / 1
LCM(4487,4493) = 20160091 / 1
LCM(4487,4493) = 20160091

Properties of LCM 4487 and 4493

(i) The LCM of 4493 and 4487 is associative

LCM of 4487 and 4493 = LCM of 4493 and 4487

Related Least Common Multiples of 4487

Related Least Common Multiples of 4493

Frequently Asked Questions on LCM of 4487 and 4493

1. What is the LCM of 4487 and 4493?

Answer: LCM of 4487 and 4493 is 20160091.

2. What are the Factors of 4487?

Answer: Factors of 4487 are 1, 7, 641, 4487. There are 4 integers that are factors of 4487. The greatest factor of 4487 is 4487.

3. What are the Factors of 4493?

Answer: Factors of 4493 are 1, 4493. There are 2 integers that are factors of 4493. The greatest factor of 4493 is 4493.

4. How to Find the LCM of 4487 and 4493?

Answer:

Least Common Multiple of 4487 and 4493 = 20160091

Step 1: Find the prime factorization of 4487

4487 = 7 x 641

Step 2: Find the prime factorization of 4493

4493 = 4493

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

LCM = 20160091 = 7 x 641 x 4493

Step 4: Therefore, the least common multiple of 4487 and 4493 is 20160091.