Least Common Multiple of 751 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 751 and 756 the smallest integer that is 567756 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 756 is 567756.

LCM(751,756) = 567756

LCM of 751 and 756

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

LCM of:
and

Least Common Multiple of 751 and 756

LCM of 751 and 756 is 567756

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 756. First we will calculate the prime factors of 751 and 756.

Prime Factorization of 751


751 751
1

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

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 751 and 756.

LCM(751,756) = 22×33×71×7511
LCM(751,756) = 567756

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1, 751

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 751 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 751 and 756, than apply into the LCM equation.

GCF(751,756) = 1
LCM(751,756) = ( 751 × 756) / 1
LCM(751,756) = 567756 / 1
LCM(751,756) = 567756

Properties of LCM 751 and 756

(i) The LCM of 756 and 751 is associative

LCM of 751 and 756 = LCM of 756 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 756

Frequently Asked Questions on LCM of 751 and 756

1. What is the LCM of 751 and 756?

Answer: LCM of 751 and 756 is 567756.

2. What are the Factors of 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

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 751 and 756?

Answer:

Least Common Multiple of 751 and 756 = 567756

Step 1: Find the prime factorization of 751

751 = 751

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 = 567756 = 2 x 2 x 3 x 3 x 3 x 7 x 751

Step 4: Therefore, the least common multiple of 751 and 756 is 567756.