Least Common Multiple of 4756 and 4764

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 4764 the smallest integer that is 5664396 that is divisible by both numbers.

Least Common Multiple (LCM) of 4756 and 4764 is 5664396.

LCM(4756,4764) = 5664396

LCM of 4756 and 4764

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

LCM of:
and

Least Common Multiple of 4756 and 4764

LCM of 4756 and 4764 is 5664396

Least common multiple can be found by multiplying the highest exponent prime factors of 4756 and 4764. First we will calculate the prime factors of 4756 and 4764.

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 4764


2 4764
2 2382
3 1191
397 397
1

Prime factors of 4764 are 2, 3,397. Prime factorization of 4764 in exponential form is:

4764 = 22×31×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 4756 and 4764.

LCM(4756,4764) = 22×31×291×411×3971
LCM(4756,4764) = 5664396

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 4764

List of positive integer factors of 4764 that divides 4764 without a remainder.

1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764

Least Common Multiple of 4756 and 4764 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 4764, than apply into the LCM equation.

GCF(4756,4764) = 4
LCM(4756,4764) = ( 4756 × 4764) / 4
LCM(4756,4764) = 22657584 / 4
LCM(4756,4764) = 5664396

Properties of LCM 4756 and 4764

(i) The LCM of 4764 and 4756 is associative

LCM of 4756 and 4764 = LCM of 4764 and 4756

Related Least Common Multiples of 4756

Related Least Common Multiples of 4764

Frequently Asked Questions on LCM of 4756 and 4764

1. What is the LCM of 4756 and 4764?

Answer: LCM of 4756 and 4764 is 5664396.

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 4764?

Answer: Factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764. There are 12 integers that are factors of 4764. The greatest factor of 4764 is 4764.

4. How to Find the LCM of 4756 and 4764?

Answer:

Least Common Multiple of 4756 and 4764 = 5664396

Step 1: Find the prime factorization of 4756

4756 = 2 x 2 x 29 x 41

Step 2: Find the prime factorization of 4764

4764 = 2 x 2 x 3 x 397

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

LCM = 5664396 = 2 x 2 x 3 x 29 x 41 x 397

Step 4: Therefore, the least common multiple of 4756 and 4764 is 5664396.