Least Common Multiple of 4496 and 4501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4496 and 4501 the smallest integer that is 20236496 that is divisible by both numbers.

Least Common Multiple (LCM) of 4496 and 4501 is 20236496.

LCM(4496,4501) = 20236496

LCM of 4496 and 4501

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

LCM of:
and

Least Common Multiple of 4496 and 4501

LCM of 4496 and 4501 is 20236496

Least common multiple can be found by multiplying the highest exponent prime factors of 4496 and 4501. First we will calculate the prime factors of 4496 and 4501.

Prime Factorization of 4496


2 4496
2 2248
2 1124
2 562
281 281
1

Prime factors of 4496 are 2,281. Prime factorization of 4496 in exponential form is:

4496 = 24×2811

Prime Factorization of 4501


7 4501
643 643
1

Prime factors of 4501 are 7,643. Prime factorization of 4501 in exponential form is:

4501 = 71×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 4496 and 4501.

LCM(4496,4501) = 24×71×2811×6431
LCM(4496,4501) = 20236496

Factors of 4496

List of positive integer factors of 4496 that divides 4496 without a remainder.

1, 2, 4, 8, 16, 281, 562, 1124, 2248, 4496

Factors of 4501

List of positive integer factors of 4501 that divides 4501 without a remainder.

1, 7, 643, 4501

Least Common Multiple of 4496 and 4501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4496 and 4501, than apply into the LCM equation.

GCF(4496,4501) = 1
LCM(4496,4501) = ( 4496 × 4501) / 1
LCM(4496,4501) = 20236496 / 1
LCM(4496,4501) = 20236496

Properties of LCM 4496 and 4501

(i) The LCM of 4501 and 4496 is associative

LCM of 4496 and 4501 = LCM of 4501 and 4496

Related Least Common Multiples of 4496

Related Least Common Multiples of 4501

Frequently Asked Questions on LCM of 4496 and 4501

1. What is the LCM of 4496 and 4501?

Answer: LCM of 4496 and 4501 is 20236496.

2. What are the Factors of 4496?

Answer: Factors of 4496 are 1, 2, 4, 8, 16, 281, 562, 1124, 2248, 4496. There are 10 integers that are factors of 4496. The greatest factor of 4496 is 4496.

3. What are the Factors of 4501?

Answer: Factors of 4501 are 1, 7, 643, 4501. There are 4 integers that are factors of 4501. The greatest factor of 4501 is 4501.

4. How to Find the LCM of 4496 and 4501?

Answer:

Least Common Multiple of 4496 and 4501 = 20236496

Step 1: Find the prime factorization of 4496

4496 = 2 x 2 x 2 x 2 x 281

Step 2: Find the prime factorization of 4501

4501 = 7 x 643

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

LCM = 20236496 = 2 x 2 x 2 x 2 x 7 x 281 x 643

Step 4: Therefore, the least common multiple of 4496 and 4501 is 20236496.