Least Common Multiple of 4756 and 4761

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 4761 the smallest integer that is 22643316 that is divisible by both numbers.

Least Common Multiple (LCM) of 4756 and 4761 is 22643316.

LCM(4756,4761) = 22643316

LCM of 4756 and 4761

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

LCM of:
and

Least Common Multiple of 4756 and 4761

LCM of 4756 and 4761 is 22643316

Least common multiple can be found by multiplying the highest exponent prime factors of 4756 and 4761. First we will calculate the prime factors of 4756 and 4761.

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 4761


3 4761
3 1587
23 529
23 23
1

Prime factors of 4761 are 3,23. Prime factorization of 4761 in exponential form is:

4761 = 32×232

Now multiplying the highest exponent prime factors to calculate the LCM of 4756 and 4761.

LCM(4756,4761) = 22×32×232×291×411
LCM(4756,4761) = 22643316

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 4761

List of positive integer factors of 4761 that divides 4761 without a remainder.

1, 3, 9, 23, 69, 207, 529, 1587, 4761

Least Common Multiple of 4756 and 4761 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 4761, than apply into the LCM equation.

GCF(4756,4761) = 1
LCM(4756,4761) = ( 4756 × 4761) / 1
LCM(4756,4761) = 22643316 / 1
LCM(4756,4761) = 22643316

Properties of LCM 4756 and 4761

(i) The LCM of 4761 and 4756 is associative

LCM of 4756 and 4761 = LCM of 4761 and 4756

Related Least Common Multiples of 4756

Related Least Common Multiples of 4761

Frequently Asked Questions on LCM of 4756 and 4761

1. What is the LCM of 4756 and 4761?

Answer: LCM of 4756 and 4761 is 22643316.

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 4761?

Answer: Factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761. There are 9 integers that are factors of 4761. The greatest factor of 4761 is 4761.

4. How to Find the LCM of 4756 and 4761?

Answer:

Least Common Multiple of 4756 and 4761 = 22643316

Step 1: Find the prime factorization of 4756

4756 = 2 x 2 x 29 x 41

Step 2: Find the prime factorization of 4761

4761 = 3 x 3 x 23 x 23

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

LCM = 22643316 = 2 x 2 x 3 x 3 x 23 x 23 x 29 x 41

Step 4: Therefore, the least common multiple of 4756 and 4761 is 22643316.