Least Common Multiple of 4536 and 4544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4536 and 4544 the smallest integer that is 2576448 that is divisible by both numbers.

Least Common Multiple (LCM) of 4536 and 4544 is 2576448.

LCM(4536,4544) = 2576448

LCM of 4536 and 4544

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

LCM of:
and

Least Common Multiple of 4536 and 4544

LCM of 4536 and 4544 is 2576448

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4544. First we will calculate the prime factors of 4536 and 4544.

Prime Factorization of 4536


2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 4536 are 2, 3,7. Prime factorization of 4536 in exponential form is:

4536 = 23×34×71

Prime Factorization of 4544


2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 4544 are 2,71. Prime factorization of 4544 in exponential form is:

4544 = 26×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4536 and 4544.

LCM(4536,4544) = 26×34×71×711
LCM(4536,4544) = 2576448

Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544

Least Common Multiple of 4536 and 4544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4536 and 4544, than apply into the LCM equation.

GCF(4536,4544) = 8
LCM(4536,4544) = ( 4536 × 4544) / 8
LCM(4536,4544) = 20611584 / 8
LCM(4536,4544) = 2576448

Properties of LCM 4536 and 4544

(i) The LCM of 4544 and 4536 is associative

LCM of 4536 and 4544 = LCM of 4544 and 4536

Related Least Common Multiples of 4536

Related Least Common Multiples of 4544

Frequently Asked Questions on LCM of 4536 and 4544

1. What is the LCM of 4536 and 4544?

Answer: LCM of 4536 and 4544 is 2576448.

2. What are the Factors of 4536?

Answer: Factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536. There are 40 integers that are factors of 4536. The greatest factor of 4536 is 4536.

3. What are the Factors of 4544?

Answer: Factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544. There are 14 integers that are factors of 4544. The greatest factor of 4544 is 4544.

4. How to Find the LCM of 4536 and 4544?

Answer:

Least Common Multiple of 4536 and 4544 = 2576448

Step 1: Find the prime factorization of 4536

4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 4544

4544 = 2 x 2 x 2 x 2 x 2 x 2 x 71

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

LCM = 2576448 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 71

Step 4: Therefore, the least common multiple of 4536 and 4544 is 2576448.