Least Common Multiple of 4756 and 4763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4756 and 4763 the smallest integer that is 22652828 that is divisible by both numbers.

Least Common Multiple (LCM) of 4756 and 4763 is 22652828.

LCM(4756,4763) = 22652828

LCM of 4756 and 4763

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

LCM of:
and

Least Common Multiple of 4756 and 4763

LCM of 4756 and 4763 is 22652828

Least common multiple can be found by multiplying the highest exponent prime factors of 4756 and 4763. First we will calculate the prime factors of 4756 and 4763.

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

Prime Factorization of 4763


11 4763
433 433
1

Prime factors of 4763 are 11,433. Prime factorization of 4763 in exponential form is:

4763 = 111×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 4756 and 4763.

LCM(4756,4763) = 22×111×291×411×4331
LCM(4756,4763) = 22652828

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

Factors of 4763

List of positive integer factors of 4763 that divides 4763 without a remainder.

1, 11, 433, 4763

Least Common Multiple of 4756 and 4763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4756 and 4763, than apply into the LCM equation.

GCF(4756,4763) = 1
LCM(4756,4763) = ( 4756 × 4763) / 1
LCM(4756,4763) = 22652828 / 1
LCM(4756,4763) = 22652828

Properties of LCM 4756 and 4763

(i) The LCM of 4763 and 4756 is associative

LCM of 4756 and 4763 = LCM of 4763 and 4756

Related Least Common Multiples of 4756

Related Least Common Multiples of 4763

Frequently Asked Questions on LCM of 4756 and 4763

1. What is the LCM of 4756 and 4763?

Answer: LCM of 4756 and 4763 is 22652828.

2. 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.

3. What are the Factors of 4763?

Answer: Factors of 4763 are 1, 11, 433, 4763. There are 4 integers that are factors of 4763. The greatest factor of 4763 is 4763.

4. How to Find the LCM of 4756 and 4763?

Answer:

Least Common Multiple of 4756 and 4763 = 22652828

Step 1: Find the prime factorization of 4756

4756 = 2 x 2 x 29 x 41

Step 2: Find the prime factorization of 4763

4763 = 11 x 433

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

LCM = 22652828 = 2 x 2 x 11 x 29 x 41 x 433

Step 4: Therefore, the least common multiple of 4756 and 4763 is 22652828.