Least Common Multiple of 4737 and 4743

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 4743 the smallest integer that is 7489197 that is divisible by both numbers.

Least Common Multiple (LCM) of 4737 and 4743 is 7489197.

LCM(4737,4743) = 7489197

LCM of 4737 and 4743

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

LCM of:
and

Least Common Multiple of 4737 and 4743

LCM of 4737 and 4743 is 7489197

Least common multiple can be found by multiplying the highest exponent prime factors of 4737 and 4743. First we will calculate the prime factors of 4737 and 4743.

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 4743


3 4743
3 1581
17 527
31 31
1

Prime factors of 4743 are 3, 17,31. Prime factorization of 4743 in exponential form is:

4743 = 32×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4737 and 4743.

LCM(4737,4743) = 32×171×311×15791
LCM(4737,4743) = 7489197

Factors of 4737

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

1, 3, 1579, 4737

Factors of 4743

List of positive integer factors of 4743 that divides 4743 without a remainder.

1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581, 4743

Least Common Multiple of 4737 and 4743 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 4743, than apply into the LCM equation.

GCF(4737,4743) = 3
LCM(4737,4743) = ( 4737 × 4743) / 3
LCM(4737,4743) = 22467591 / 3
LCM(4737,4743) = 7489197

Properties of LCM 4737 and 4743

(i) The LCM of 4743 and 4737 is associative

LCM of 4737 and 4743 = LCM of 4743 and 4737

Related Least Common Multiples of 4737

Related Least Common Multiples of 4743

Frequently Asked Questions on LCM of 4737 and 4743

1. What is the LCM of 4737 and 4743?

Answer: LCM of 4737 and 4743 is 7489197.

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 4743?

Answer: Factors of 4743 are 1, 3, 9, 17, 31, 51, 93, 153, 279, 527, 1581, 4743. There are 12 integers that are factors of 4743. The greatest factor of 4743 is 4743.

4. How to Find the LCM of 4737 and 4743?

Answer:

Least Common Multiple of 4737 and 4743 = 7489197

Step 1: Find the prime factorization of 4737

4737 = 3 x 1579

Step 2: Find the prime factorization of 4743

4743 = 3 x 3 x 17 x 31

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

LCM = 7489197 = 3 x 3 x 17 x 31 x 1579

Step 4: Therefore, the least common multiple of 4737 and 4743 is 7489197.