Least Common Multiple of 4737 and 4742

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 4742 the smallest integer that is 22462854 that is divisible by both numbers.

Least Common Multiple (LCM) of 4737 and 4742 is 22462854.

LCM(4737,4742) = 22462854

LCM of 4737 and 4742

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

LCM of:
and

Least Common Multiple of 4737 and 4742

LCM of 4737 and 4742 is 22462854

Least common multiple can be found by multiplying the highest exponent prime factors of 4737 and 4742. First we will calculate the prime factors of 4737 and 4742.

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 4742


2 4742
2371 2371
1

Prime factors of 4742 are 2,2371. Prime factorization of 4742 in exponential form is:

4742 = 21×23711

Now multiplying the highest exponent prime factors to calculate the LCM of 4737 and 4742.

LCM(4737,4742) = 21×31×15791×23711
LCM(4737,4742) = 22462854

Factors of 4737

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

1, 3, 1579, 4737

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1, 2, 2371, 4742

Least Common Multiple of 4737 and 4742 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 4742, than apply into the LCM equation.

GCF(4737,4742) = 1
LCM(4737,4742) = ( 4737 × 4742) / 1
LCM(4737,4742) = 22462854 / 1
LCM(4737,4742) = 22462854

Properties of LCM 4737 and 4742

(i) The LCM of 4742 and 4737 is associative

LCM of 4737 and 4742 = LCM of 4742 and 4737

Related Least Common Multiples of 4737

Related Least Common Multiples of 4742

Frequently Asked Questions on LCM of 4737 and 4742

1. What is the LCM of 4737 and 4742?

Answer: LCM of 4737 and 4742 is 22462854.

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 4742?

Answer: Factors of 4742 are 1, 2, 2371, 4742. There are 4 integers that are factors of 4742. The greatest factor of 4742 is 4742.

4. How to Find the LCM of 4737 and 4742?

Answer:

Least Common Multiple of 4737 and 4742 = 22462854

Step 1: Find the prime factorization of 4737

4737 = 3 x 1579

Step 2: Find the prime factorization of 4742

4742 = 2 x 2371

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

LCM = 22462854 = 2 x 3 x 1579 x 2371

Step 4: Therefore, the least common multiple of 4737 and 4742 is 22462854.