Least Common Multiple of 4487 and 4495

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 4495 the smallest integer that is 20169065 that is divisible by both numbers.

Least Common Multiple (LCM) of 4487 and 4495 is 20169065.

LCM(4487,4495) = 20169065

LCM of 4487 and 4495

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

LCM of:
and

Least Common Multiple of 4487 and 4495

LCM of 4487 and 4495 is 20169065

Least common multiple can be found by multiplying the highest exponent prime factors of 4487 and 4495. First we will calculate the prime factors of 4487 and 4495.

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 4495


5 4495
29 899
31 31
1

Prime factors of 4495 are 5, 29,31. Prime factorization of 4495 in exponential form is:

4495 = 51×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4487 and 4495.

LCM(4487,4495) = 51×71×291×311×6411
LCM(4487,4495) = 20169065

Factors of 4487

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

1, 7, 641, 4487

Factors of 4495

List of positive integer factors of 4495 that divides 4495 without a remainder.

1, 5, 29, 31, 145, 155, 899, 4495

Least Common Multiple of 4487 and 4495 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 4495, than apply into the LCM equation.

GCF(4487,4495) = 1
LCM(4487,4495) = ( 4487 × 4495) / 1
LCM(4487,4495) = 20169065 / 1
LCM(4487,4495) = 20169065

Properties of LCM 4487 and 4495

(i) The LCM of 4495 and 4487 is associative

LCM of 4487 and 4495 = LCM of 4495 and 4487

Related Least Common Multiples of 4487

Related Least Common Multiples of 4495

Frequently Asked Questions on LCM of 4487 and 4495

1. What is the LCM of 4487 and 4495?

Answer: LCM of 4487 and 4495 is 20169065.

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 4495?

Answer: Factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495. There are 8 integers that are factors of 4495. The greatest factor of 4495 is 4495.

4. How to Find the LCM of 4487 and 4495?

Answer:

Least Common Multiple of 4487 and 4495 = 20169065

Step 1: Find the prime factorization of 4487

4487 = 7 x 641

Step 2: Find the prime factorization of 4495

4495 = 5 x 29 x 31

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

LCM = 20169065 = 5 x 7 x 29 x 31 x 641

Step 4: Therefore, the least common multiple of 4487 and 4495 is 20169065.