Least Common Multiple of 750 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 750 and 756 the smallest integer that is 94500 that is divisible by both numbers.

Least Common Multiple (LCM) of 750 and 756 is 94500.

LCM(750,756) = 94500

LCM of 750 and 756

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

LCM of:
and

Least Common Multiple of 750 and 756

LCM of 750 and 756 is 94500

Least common multiple can be found by multiplying the highest exponent prime factors of 750 and 756. First we will calculate the prime factors of 750 and 756.

Prime Factorization of 750


2 750
3 375
5 125
5 25
5 5
1

Prime factors of 750 are 2, 3,5. Prime factorization of 750 in exponential form is:

750 = 21×31×53

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 750 and 756.

LCM(750,756) = 22×33×53×71
LCM(750,756) = 94500

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 750 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 750 and 756, than apply into the LCM equation.

GCF(750,756) = 6
LCM(750,756) = ( 750 × 756) / 6
LCM(750,756) = 567000 / 6
LCM(750,756) = 94500

Properties of LCM 750 and 756

(i) The LCM of 756 and 750 is associative

LCM of 750 and 756 = LCM of 756 and 750

Related Least Common Multiples of 750

Related Least Common Multiples of 756

Frequently Asked Questions on LCM of 750 and 756

1. What is the LCM of 750 and 756?

Answer: LCM of 750 and 756 is 94500.

2. What are the Factors of 750?

Answer: Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750. There are 16 integers that are factors of 750. The greatest factor of 750 is 750.

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 750 and 756?

Answer:

Least Common Multiple of 750 and 756 = 94500

Step 1: Find the prime factorization of 750

750 = 2 x 3 x 5 x 5 x 5

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 = 94500 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7

Step 4: Therefore, the least common multiple of 750 and 756 is 94500.