Least Common Multiple of 4739 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 4739 and 4744 the smallest integer that is 22481816 that is divisible by both numbers.

Least Common Multiple (LCM) of 4739 and 4744 is 22481816.

LCM(4739,4744) = 22481816

LCM of 4739 and 4744

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

LCM of:
and

Least Common Multiple of 4739 and 4744

LCM of 4739 and 4744 is 22481816

Least common multiple can be found by multiplying the highest exponent prime factors of 4739 and 4744. First we will calculate the prime factors of 4739 and 4744.

Prime Factorization of 4739


7 4739
677 677
1

Prime factors of 4739 are 7,677. Prime factorization of 4739 in exponential form is:

4739 = 71×6771

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 4739 and 4744.

LCM(4739,4744) = 23×71×5931×6771
LCM(4739,4744) = 22481816

Factors of 4739

List of positive integer factors of 4739 that divides 4739 without a remainder.

1, 7, 677, 4739

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 4739 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 4739 and 4744, than apply into the LCM equation.

GCF(4739,4744) = 1
LCM(4739,4744) = ( 4739 × 4744) / 1
LCM(4739,4744) = 22481816 / 1
LCM(4739,4744) = 22481816

Properties of LCM 4739 and 4744

(i) The LCM of 4744 and 4739 is associative

LCM of 4739 and 4744 = LCM of 4744 and 4739

Related Least Common Multiples of 4739

Related Least Common Multiples of 4744

Frequently Asked Questions on LCM of 4739 and 4744

1. What is the LCM of 4739 and 4744?

Answer: LCM of 4739 and 4744 is 22481816.

2. What are the Factors of 4739?

Answer: Factors of 4739 are 1, 7, 677, 4739. There are 4 integers that are factors of 4739. The greatest factor of 4739 is 4739.

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 4739 and 4744?

Answer:

Least Common Multiple of 4739 and 4744 = 22481816

Step 1: Find the prime factorization of 4739

4739 = 7 x 677

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 = 22481816 = 2 x 2 x 2 x 7 x 593 x 677

Step 4: Therefore, the least common multiple of 4739 and 4744 is 22481816.