Least Common Multiple of 4737 and 4745

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 4745 the smallest integer that is 22477065 that is divisible by both numbers.

Least Common Multiple (LCM) of 4737 and 4745 is 22477065.

LCM(4737,4745) = 22477065

LCM of 4737 and 4745

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

LCM of:
and

Least Common Multiple of 4737 and 4745

LCM of 4737 and 4745 is 22477065

Least common multiple can be found by multiplying the highest exponent prime factors of 4737 and 4745. First we will calculate the prime factors of 4737 and 4745.

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 4745


5 4745
13 949
73 73
1

Prime factors of 4745 are 5, 13,73. Prime factorization of 4745 in exponential form is:

4745 = 51×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4737 and 4745.

LCM(4737,4745) = 31×51×131×731×15791
LCM(4737,4745) = 22477065

Factors of 4737

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

1, 3, 1579, 4737

Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1, 5, 13, 65, 73, 365, 949, 4745

Least Common Multiple of 4737 and 4745 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 4745, than apply into the LCM equation.

GCF(4737,4745) = 1
LCM(4737,4745) = ( 4737 × 4745) / 1
LCM(4737,4745) = 22477065 / 1
LCM(4737,4745) = 22477065

Properties of LCM 4737 and 4745

(i) The LCM of 4745 and 4737 is associative

LCM of 4737 and 4745 = LCM of 4745 and 4737

Related Least Common Multiples of 4737

Related Least Common Multiples of 4745

Frequently Asked Questions on LCM of 4737 and 4745

1. What is the LCM of 4737 and 4745?

Answer: LCM of 4737 and 4745 is 22477065.

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 4745?

Answer: Factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745. There are 8 integers that are factors of 4745. The greatest factor of 4745 is 4745.

4. How to Find the LCM of 4737 and 4745?

Answer:

Least Common Multiple of 4737 and 4745 = 22477065

Step 1: Find the prime factorization of 4737

4737 = 3 x 1579

Step 2: Find the prime factorization of 4745

4745 = 5 x 13 x 73

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

LCM = 22477065 = 3 x 5 x 13 x 73 x 1579

Step 4: Therefore, the least common multiple of 4737 and 4745 is 22477065.