Least Common Multiple of 4751 and 4757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4751 and 4757 the smallest integer that is 22600507 that is divisible by both numbers.

Least Common Multiple (LCM) of 4751 and 4757 is 22600507.

LCM(4751,4757) = 22600507

LCM of 4751 and 4757

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

LCM of:
and

Least Common Multiple of 4751 and 4757

LCM of 4751 and 4757 is 22600507

Least common multiple can be found by multiplying the highest exponent prime factors of 4751 and 4757. First we will calculate the prime factors of 4751 and 4757.

Prime Factorization of 4751


4751 4751
1

Prime factors of 4751 are 4751. Prime factorization of 4751 in exponential form is:

4751 = 47511

Prime Factorization of 4757


67 4757
71 71
1

Prime factors of 4757 are 67,71. Prime factorization of 4757 in exponential form is:

4757 = 671×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4751 and 4757.

LCM(4751,4757) = 671×711×47511
LCM(4751,4757) = 22600507

Factors of 4751

List of positive integer factors of 4751 that divides 4751 without a remainder.

1, 4751

Factors of 4757

List of positive integer factors of 4757 that divides 4757 without a remainder.

1, 67, 71, 4757

Least Common Multiple of 4751 and 4757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4751 and 4757, than apply into the LCM equation.

GCF(4751,4757) = 1
LCM(4751,4757) = ( 4751 × 4757) / 1
LCM(4751,4757) = 22600507 / 1
LCM(4751,4757) = 22600507

Properties of LCM 4751 and 4757

(i) The LCM of 4757 and 4751 is associative

LCM of 4751 and 4757 = LCM of 4757 and 4751

Related Least Common Multiples of 4751

Related Least Common Multiples of 4757

Frequently Asked Questions on LCM of 4751 and 4757

1. What is the LCM of 4751 and 4757?

Answer: LCM of 4751 and 4757 is 22600507.

2. What are the Factors of 4751?

Answer: Factors of 4751 are 1, 4751. There are 2 integers that are factors of 4751. The greatest factor of 4751 is 4751.

3. What are the Factors of 4757?

Answer: Factors of 4757 are 1, 67, 71, 4757. There are 4 integers that are factors of 4757. The greatest factor of 4757 is 4757.

4. How to Find the LCM of 4751 and 4757?

Answer:

Least Common Multiple of 4751 and 4757 = 22600507

Step 1: Find the prime factorization of 4751

4751 = 4751

Step 2: Find the prime factorization of 4757

4757 = 67 x 71

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

LCM = 22600507 = 67 x 71 x 4751

Step 4: Therefore, the least common multiple of 4751 and 4757 is 22600507.