Least Common Multiple of 4753 and 4756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4753 and 4756 the smallest integer that is 22605268 that is divisible by both numbers.

Least Common Multiple (LCM) of 4753 and 4756 is 22605268.

LCM(4753,4756) = 22605268

LCM of 4753 and 4756

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

LCM of:
and

Least Common Multiple of 4753 and 4756

LCM of 4753 and 4756 is 22605268

Least common multiple can be found by multiplying the highest exponent prime factors of 4753 and 4756. First we will calculate the prime factors of 4753 and 4756.

Prime Factorization of 4753


7 4753
7 679
97 97
1

Prime factors of 4753 are 7,97. Prime factorization of 4753 in exponential form is:

4753 = 72×971

Prime Factorization of 4756


2 4756
2 2378
29 1189
41 41
1

Prime factors of 4756 are 2, 29,41. Prime factorization of 4756 in exponential form is:

4756 = 22×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4753 and 4756.

LCM(4753,4756) = 22×72×291×411×971
LCM(4753,4756) = 22605268

Factors of 4753

List of positive integer factors of 4753 that divides 4753 without a remainder.

1, 7, 49, 97, 679, 4753

Factors of 4756

List of positive integer factors of 4756 that divides 4756 without a remainder.

1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756

Least Common Multiple of 4753 and 4756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4753 and 4756, than apply into the LCM equation.

GCF(4753,4756) = 1
LCM(4753,4756) = ( 4753 × 4756) / 1
LCM(4753,4756) = 22605268 / 1
LCM(4753,4756) = 22605268

Properties of LCM 4753 and 4756

(i) The LCM of 4756 and 4753 is associative

LCM of 4753 and 4756 = LCM of 4756 and 4753

Related Least Common Multiples of 4753

Related Least Common Multiples of 4756

Frequently Asked Questions on LCM of 4753 and 4756

1. What is the LCM of 4753 and 4756?

Answer: LCM of 4753 and 4756 is 22605268.

2. What are the Factors of 4753?

Answer: Factors of 4753 are 1, 7, 49, 97, 679, 4753. There are 6 integers that are factors of 4753. The greatest factor of 4753 is 4753.

3. What are the Factors of 4756?

Answer: Factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756. There are 12 integers that are factors of 4756. The greatest factor of 4756 is 4756.

4. How to Find the LCM of 4753 and 4756?

Answer:

Least Common Multiple of 4753 and 4756 = 22605268

Step 1: Find the prime factorization of 4753

4753 = 7 x 7 x 97

Step 2: Find the prime factorization of 4756

4756 = 2 x 2 x 29 x 41

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

LCM = 22605268 = 2 x 2 x 7 x 7 x 29 x 41 x 97

Step 4: Therefore, the least common multiple of 4753 and 4756 is 22605268.