Least Common Multiple of 4496 and 4504

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 4504 the smallest integer that is 2531248 that is divisible by both numbers.

Least Common Multiple (LCM) of 4496 and 4504 is 2531248.

LCM(4496,4504) = 2531248

LCM of 4496 and 4504

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

LCM of:
and

Least Common Multiple of 4496 and 4504

LCM of 4496 and 4504 is 2531248

Least common multiple can be found by multiplying the highest exponent prime factors of 4496 and 4504. First we will calculate the prime factors of 4496 and 4504.

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 4504


2 4504
2 2252
2 1126
563 563
1

Prime factors of 4504 are 2,563. Prime factorization of 4504 in exponential form is:

4504 = 23×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 4496 and 4504.

LCM(4496,4504) = 24×2811×5631
LCM(4496,4504) = 2531248

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 4504

List of positive integer factors of 4504 that divides 4504 without a remainder.

1, 2, 4, 8, 563, 1126, 2252, 4504

Least Common Multiple of 4496 and 4504 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 4504, than apply into the LCM equation.

GCF(4496,4504) = 8
LCM(4496,4504) = ( 4496 × 4504) / 8
LCM(4496,4504) = 20249984 / 8
LCM(4496,4504) = 2531248

Properties of LCM 4496 and 4504

(i) The LCM of 4504 and 4496 is associative

LCM of 4496 and 4504 = LCM of 4504 and 4496

Related Least Common Multiples of 4496

Related Least Common Multiples of 4504

Frequently Asked Questions on LCM of 4496 and 4504

1. What is the LCM of 4496 and 4504?

Answer: LCM of 4496 and 4504 is 2531248.

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 4504?

Answer: Factors of 4504 are 1, 2, 4, 8, 563, 1126, 2252, 4504. There are 8 integers that are factors of 4504. The greatest factor of 4504 is 4504.

4. How to Find the LCM of 4496 and 4504?

Answer:

Least Common Multiple of 4496 and 4504 = 2531248

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 4504

4504 = 2 x 2 x 2 x 563

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

LCM = 2531248 = 2 x 2 x 2 x 2 x 281 x 563

Step 4: Therefore, the least common multiple of 4496 and 4504 is 2531248.