Least Common Multiple of 4737 and 4744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4737 and 4744 the smallest integer that is 22472328 that is divisible by both numbers.

Least Common Multiple (LCM) of 4737 and 4744 is 22472328.

LCM(4737,4744) = 22472328

LCM of 4737 and 4744

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

LCM of:
and

Least Common Multiple of 4737 and 4744

LCM of 4737 and 4744 is 22472328

Least common multiple can be found by multiplying the highest exponent prime factors of 4737 and 4744. First we will calculate the prime factors of 4737 and 4744.

Prime Factorization of 4737


3 4737
1579 1579
1

Prime factors of 4737 are 3,1579. Prime factorization of 4737 in exponential form is:

4737 = 31×15791

Prime Factorization of 4744


2 4744
2 2372
2 1186
593 593
1

Prime factors of 4744 are 2,593. Prime factorization of 4744 in exponential form is:

4744 = 23×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 4737 and 4744.

LCM(4737,4744) = 23×31×5931×15791
LCM(4737,4744) = 22472328

Factors of 4737

List of positive integer factors of 4737 that divides 4737 without a remainder.

1, 3, 1579, 4737

Factors of 4744

List of positive integer factors of 4744 that divides 4744 without a remainder.

1, 2, 4, 8, 593, 1186, 2372, 4744

Least Common Multiple of 4737 and 4744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4737 and 4744, than apply into the LCM equation.

GCF(4737,4744) = 1
LCM(4737,4744) = ( 4737 × 4744) / 1
LCM(4737,4744) = 22472328 / 1
LCM(4737,4744) = 22472328

Properties of LCM 4737 and 4744

(i) The LCM of 4744 and 4737 is associative

LCM of 4737 and 4744 = LCM of 4744 and 4737

Related Least Common Multiples of 4737

Related Least Common Multiples of 4744

Frequently Asked Questions on LCM of 4737 and 4744

1. What is the LCM of 4737 and 4744?

Answer: LCM of 4737 and 4744 is 22472328.

2. What are the Factors of 4737?

Answer: Factors of 4737 are 1, 3, 1579, 4737. There are 4 integers that are factors of 4737. The greatest factor of 4737 is 4737.

3. What are the Factors of 4744?

Answer: Factors of 4744 are 1, 2, 4, 8, 593, 1186, 2372, 4744. There are 8 integers that are factors of 4744. The greatest factor of 4744 is 4744.

4. How to Find the LCM of 4737 and 4744?

Answer:

Least Common Multiple of 4737 and 4744 = 22472328

Step 1: Find the prime factorization of 4737

4737 = 3 x 1579

Step 2: Find the prime factorization of 4744

4744 = 2 x 2 x 2 x 593

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

LCM = 22472328 = 2 x 2 x 2 x 3 x 593 x 1579

Step 4: Therefore, the least common multiple of 4737 and 4744 is 22472328.