Least Common Multiple of 756 and 757

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 757 the smallest integer that is 572292 that is divisible by both numbers.

Least Common Multiple (LCM) of 756 and 757 is 572292.

LCM(756,757) = 572292

LCM of 756 and 757

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

LCM of:
and

Least Common Multiple of 756 and 757

LCM of 756 and 757 is 572292

Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 757. First we will calculate the prime factors of 756 and 757.

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 757


757 757
1

Prime factors of 757 are 757. Prime factorization of 757 in exponential form is:

757 = 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 756 and 757.

LCM(756,757) = 22×33×71×7571
LCM(756,757) = 572292

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 757

List of positive integer factors of 757 that divides 757 without a remainder.

1, 757

Least Common Multiple of 756 and 757 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 757, than apply into the LCM equation.

GCF(756,757) = 1
LCM(756,757) = ( 756 × 757) / 1
LCM(756,757) = 572292 / 1
LCM(756,757) = 572292

Properties of LCM 756 and 757

(i) The LCM of 757 and 756 is associative

LCM of 756 and 757 = LCM of 757 and 756

Related Least Common Multiples of 756

Related Least Common Multiples of 757

Frequently Asked Questions on LCM of 756 and 757

1. What is the LCM of 756 and 757?

Answer: LCM of 756 and 757 is 572292.

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 757?

Answer: Factors of 757 are 1, 757. There are 2 integers that are factors of 757. The greatest factor of 757 is 757.

4. How to Find the LCM of 756 and 757?

Answer:

Least Common Multiple of 756 and 757 = 572292

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 757

757 = 757

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

LCM = 572292 = 2 x 2 x 3 x 3 x 3 x 7 x 757

Step 4: Therefore, the least common multiple of 756 and 757 is 572292.