Least Common Multiple of 4756 and 4760

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 4760 the smallest integer that is 5659640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4756 and 4760 is 5659640.

LCM(4756,4760) = 5659640

LCM of 4756 and 4760

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

LCM of:
and

Least Common Multiple of 4756 and 4760

LCM of 4756 and 4760 is 5659640

Least common multiple can be found by multiplying the highest exponent prime factors of 4756 and 4760. First we will calculate the prime factors of 4756 and 4760.

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 4760


2 4760
2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 4760 are 2, 5, 7,17. Prime factorization of 4760 in exponential form is:

4760 = 23×51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4756 and 4760.

LCM(4756,4760) = 23×51×71×171×291×411
LCM(4756,4760) = 5659640

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 4760

List of positive integer factors of 4760 that divides 4760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760

Least Common Multiple of 4756 and 4760 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 4760, than apply into the LCM equation.

GCF(4756,4760) = 4
LCM(4756,4760) = ( 4756 × 4760) / 4
LCM(4756,4760) = 22638560 / 4
LCM(4756,4760) = 5659640

Properties of LCM 4756 and 4760

(i) The LCM of 4760 and 4756 is associative

LCM of 4756 and 4760 = LCM of 4760 and 4756

Related Least Common Multiples of 4756

Related Least Common Multiples of 4760

Frequently Asked Questions on LCM of 4756 and 4760

1. What is the LCM of 4756 and 4760?

Answer: LCM of 4756 and 4760 is 5659640.

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 4760?

Answer: Factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760. There are 32 integers that are factors of 4760. The greatest factor of 4760 is 4760.

4. How to Find the LCM of 4756 and 4760?

Answer:

Least Common Multiple of 4756 and 4760 = 5659640

Step 1: Find the prime factorization of 4756

4756 = 2 x 2 x 29 x 41

Step 2: Find the prime factorization of 4760

4760 = 2 x 2 x 2 x 5 x 7 x 17

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

LCM = 5659640 = 2 x 2 x 2 x 5 x 7 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 4756 and 4760 is 5659640.