Least Common Multiple of 4496 and 4503

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 4503 the smallest integer that is 20245488 that is divisible by both numbers.

Least Common Multiple (LCM) of 4496 and 4503 is 20245488.

LCM(4496,4503) = 20245488

LCM of 4496 and 4503

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

LCM of:
and

Least Common Multiple of 4496 and 4503

LCM of 4496 and 4503 is 20245488

Least common multiple can be found by multiplying the highest exponent prime factors of 4496 and 4503. First we will calculate the prime factors of 4496 and 4503.

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 4503


3 4503
19 1501
79 79
1

Prime factors of 4503 are 3, 19,79. Prime factorization of 4503 in exponential form is:

4503 = 31×191×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4496 and 4503.

LCM(4496,4503) = 24×31×191×791×2811
LCM(4496,4503) = 20245488

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 4503

List of positive integer factors of 4503 that divides 4503 without a remainder.

1, 3, 19, 57, 79, 237, 1501, 4503

Least Common Multiple of 4496 and 4503 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 4503, than apply into the LCM equation.

GCF(4496,4503) = 1
LCM(4496,4503) = ( 4496 × 4503) / 1
LCM(4496,4503) = 20245488 / 1
LCM(4496,4503) = 20245488

Properties of LCM 4496 and 4503

(i) The LCM of 4503 and 4496 is associative

LCM of 4496 and 4503 = LCM of 4503 and 4496

Related Least Common Multiples of 4496

Related Least Common Multiples of 4503

Frequently Asked Questions on LCM of 4496 and 4503

1. What is the LCM of 4496 and 4503?

Answer: LCM of 4496 and 4503 is 20245488.

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 4503?

Answer: Factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503. There are 8 integers that are factors of 4503. The greatest factor of 4503 is 4503.

4. How to Find the LCM of 4496 and 4503?

Answer:

Least Common Multiple of 4496 and 4503 = 20245488

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 4503

4503 = 3 x 19 x 79

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

LCM = 20245488 = 2 x 2 x 2 x 2 x 3 x 19 x 79 x 281

Step 4: Therefore, the least common multiple of 4496 and 4503 is 20245488.