Least Common Multiple of 4737 and 4741

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 4741 the smallest integer that is 22458117 that is divisible by both numbers.

Least Common Multiple (LCM) of 4737 and 4741 is 22458117.

LCM(4737,4741) = 22458117

LCM of 4737 and 4741

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

LCM of:
and

Least Common Multiple of 4737 and 4741

LCM of 4737 and 4741 is 22458117

Least common multiple can be found by multiplying the highest exponent prime factors of 4737 and 4741. First we will calculate the prime factors of 4737 and 4741.

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 4741


11 4741
431 431
1

Prime factors of 4741 are 11,431. Prime factorization of 4741 in exponential form is:

4741 = 111×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 4737 and 4741.

LCM(4737,4741) = 31×111×4311×15791
LCM(4737,4741) = 22458117

Factors of 4737

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

1, 3, 1579, 4737

Factors of 4741

List of positive integer factors of 4741 that divides 4741 without a remainder.

1, 11, 431, 4741

Least Common Multiple of 4737 and 4741 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 4741, than apply into the LCM equation.

GCF(4737,4741) = 1
LCM(4737,4741) = ( 4737 × 4741) / 1
LCM(4737,4741) = 22458117 / 1
LCM(4737,4741) = 22458117

Properties of LCM 4737 and 4741

(i) The LCM of 4741 and 4737 is associative

LCM of 4737 and 4741 = LCM of 4741 and 4737

Related Least Common Multiples of 4737

Related Least Common Multiples of 4741

Frequently Asked Questions on LCM of 4737 and 4741

1. What is the LCM of 4737 and 4741?

Answer: LCM of 4737 and 4741 is 22458117.

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 4741?

Answer: Factors of 4741 are 1, 11, 431, 4741. There are 4 integers that are factors of 4741. The greatest factor of 4741 is 4741.

4. How to Find the LCM of 4737 and 4741?

Answer:

Least Common Multiple of 4737 and 4741 = 22458117

Step 1: Find the prime factorization of 4737

4737 = 3 x 1579

Step 2: Find the prime factorization of 4741

4741 = 11 x 431

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

LCM = 22458117 = 3 x 11 x 431 x 1579

Step 4: Therefore, the least common multiple of 4737 and 4741 is 22458117.