Least Common Multiple of 4496 and 4500

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 4500 the smallest integer that is 5058000 that is divisible by both numbers.

Least Common Multiple (LCM) of 4496 and 4500 is 5058000.

LCM(4496,4500) = 5058000

LCM of 4496 and 4500

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

LCM of:
and

Least Common Multiple of 4496 and 4500

LCM of 4496 and 4500 is 5058000

Least common multiple can be found by multiplying the highest exponent prime factors of 4496 and 4500. First we will calculate the prime factors of 4496 and 4500.

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 4500


2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 4500 are 2, 3,5. Prime factorization of 4500 in exponential form is:

4500 = 22×32×53

Now multiplying the highest exponent prime factors to calculate the LCM of 4496 and 4500.

LCM(4496,4500) = 24×32×53×2811
LCM(4496,4500) = 5058000

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 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500

Least Common Multiple of 4496 and 4500 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 4500, than apply into the LCM equation.

GCF(4496,4500) = 4
LCM(4496,4500) = ( 4496 × 4500) / 4
LCM(4496,4500) = 20232000 / 4
LCM(4496,4500) = 5058000

Properties of LCM 4496 and 4500

(i) The LCM of 4500 and 4496 is associative

LCM of 4496 and 4500 = LCM of 4500 and 4496

Related Least Common Multiples of 4496

Related Least Common Multiples of 4500

Frequently Asked Questions on LCM of 4496 and 4500

1. What is the LCM of 4496 and 4500?

Answer: LCM of 4496 and 4500 is 5058000.

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 4500?

Answer: Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. There are 36 integers that are factors of 4500. The greatest factor of 4500 is 4500.

4. How to Find the LCM of 4496 and 4500?

Answer:

Least Common Multiple of 4496 and 4500 = 5058000

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 4500

4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5

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

LCM = 5058000 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 281

Step 4: Therefore, the least common multiple of 4496 and 4500 is 5058000.