Least Common Multiple of 756 and 758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 756 and 758 the smallest integer that is 286524 that is divisible by both numbers.

Least Common Multiple (LCM) of 756 and 758 is 286524.

LCM(756,758) = 286524

LCM of 756 and 758

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

LCM of:
and

Least Common Multiple of 756 and 758

LCM of 756 and 758 is 286524

Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 758. First we will calculate the prime factors of 756 and 758.

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

Prime Factorization of 758


2 758
379 379
1

Prime factors of 758 are 2,379. Prime factorization of 758 in exponential form is:

758 = 21×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 756 and 758.

LCM(756,758) = 22×33×71×3791
LCM(756,758) = 286524

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

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Least Common Multiple of 756 and 758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 756 and 758, than apply into the LCM equation.

GCF(756,758) = 2
LCM(756,758) = ( 756 × 758) / 2
LCM(756,758) = 573048 / 2
LCM(756,758) = 286524

Properties of LCM 756 and 758

(i) The LCM of 758 and 756 is associative

LCM of 756 and 758 = LCM of 758 and 756

Related Least Common Multiples of 756

Related Least Common Multiples of 758

Frequently Asked Questions on LCM of 756 and 758

1. What is the LCM of 756 and 758?

Answer: LCM of 756 and 758 is 286524.

2. 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.

3. What are the Factors of 758?

Answer: Factors of 758 are 1, 2, 379, 758. There are 4 integers that are factors of 758. The greatest factor of 758 is 758.

4. How to Find the LCM of 756 and 758?

Answer:

Least Common Multiple of 756 and 758 = 286524

Step 1: Find the prime factorization of 756

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

Step 2: Find the prime factorization of 758

758 = 2 x 379

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

LCM = 286524 = 2 x 2 x 3 x 3 x 3 x 7 x 379

Step 4: Therefore, the least common multiple of 756 and 758 is 286524.