Least Common Multiple of 4544 and 4551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4544 and 4551 the smallest integer that is 20679744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4544 and 4551 is 20679744.

LCM(4544,4551) = 20679744

LCM of 4544 and 4551

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

LCM of:
and

Least Common Multiple of 4544 and 4551

LCM of 4544 and 4551 is 20679744

Least common multiple can be found by multiplying the highest exponent prime factors of 4544 and 4551. First we will calculate the prime factors of 4544 and 4551.

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

Prime Factorization of 4551


3 4551
37 1517
41 41
1

Prime factors of 4551 are 3, 37,41. Prime factorization of 4551 in exponential form is:

4551 = 31×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4544 and 4551.

LCM(4544,4551) = 26×31×371×411×711
LCM(4544,4551) = 20679744

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

Factors of 4551

List of positive integer factors of 4551 that divides 4551 without a remainder.

1, 3, 37, 41, 111, 123, 1517, 4551

Least Common Multiple of 4544 and 4551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4544 and 4551, than apply into the LCM equation.

GCF(4544,4551) = 1
LCM(4544,4551) = ( 4544 × 4551) / 1
LCM(4544,4551) = 20679744 / 1
LCM(4544,4551) = 20679744

Properties of LCM 4544 and 4551

(i) The LCM of 4551 and 4544 is associative

LCM of 4544 and 4551 = LCM of 4551 and 4544

Related Least Common Multiples of 4544

Related Least Common Multiples of 4551

Frequently Asked Questions on LCM of 4544 and 4551

1. What is the LCM of 4544 and 4551?

Answer: LCM of 4544 and 4551 is 20679744.

2. 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.

3. What are the Factors of 4551?

Answer: Factors of 4551 are 1, 3, 37, 41, 111, 123, 1517, 4551. There are 8 integers that are factors of 4551. The greatest factor of 4551 is 4551.

4. How to Find the LCM of 4544 and 4551?

Answer:

Least Common Multiple of 4544 and 4551 = 20679744

Step 1: Find the prime factorization of 4544

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

Step 2: Find the prime factorization of 4551

4551 = 3 x 37 x 41

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

LCM = 20679744 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 41 x 71

Step 4: Therefore, the least common multiple of 4544 and 4551 is 20679744.