Least Common Multiple of 752 and 756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 752 and 756 the smallest integer that is 142128 that is divisible by both numbers.

Least Common Multiple (LCM) of 752 and 756 is 142128.

LCM(752,756) = 142128

LCM of 752 and 756

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

LCM of:
and

Least Common Multiple of 752 and 756

LCM of 752 and 756 is 142128

Least common multiple can be found by multiplying the highest exponent prime factors of 752 and 756. First we will calculate the prime factors of 752 and 756.

Prime Factorization of 752


2 752
2 376
2 188
2 94
47 47
1

Prime factors of 752 are 2,47. Prime factorization of 752 in exponential form is:

752 = 24×471

Prime Factorization of 756


2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 756 are 2, 3,7. Prime factorization of 756 in exponential form is:

756 = 22×33×71

Now multiplying the highest exponent prime factors to calculate the LCM of 752 and 756.

LCM(752,756) = 24×33×71×471
LCM(752,756) = 142128

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Least Common Multiple of 752 and 756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 752 and 756, than apply into the LCM equation.

GCF(752,756) = 4
LCM(752,756) = ( 752 × 756) / 4
LCM(752,756) = 568512 / 4
LCM(752,756) = 142128

Properties of LCM 752 and 756

(i) The LCM of 756 and 752 is associative

LCM of 752 and 756 = LCM of 756 and 752

Related Least Common Multiples of 752

Related Least Common Multiples of 756

Frequently Asked Questions on LCM of 752 and 756

1. What is the LCM of 752 and 756?

Answer: LCM of 752 and 756 is 142128.

2. What are the Factors of 752?

Answer: Factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752. There are 10 integers that are factors of 752. The greatest factor of 752 is 752.

3. What are the Factors of 756?

Answer: Factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756. There are 24 integers that are factors of 756. The greatest factor of 756 is 756.

4. How to Find the LCM of 752 and 756?

Answer:

Least Common Multiple of 752 and 756 = 142128

Step 1: Find the prime factorization of 752

752 = 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 756

756 = 2 x 2 x 3 x 3 x 3 x 7

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

LCM = 142128 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 47

Step 4: Therefore, the least common multiple of 752 and 756 is 142128.