Least Common Multiple of 756 and 764

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 764 the smallest integer that is 144396 that is divisible by both numbers.

Least Common Multiple (LCM) of 756 and 764 is 144396.

LCM(756,764) = 144396

LCM of 756 and 764

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

LCM of:
and

Least Common Multiple of 756 and 764

LCM of 756 and 764 is 144396

Least common multiple can be found by multiplying the highest exponent prime factors of 756 and 764. First we will calculate the prime factors of 756 and 764.

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 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 756 and 764.

LCM(756,764) = 22×33×71×1911
LCM(756,764) = 144396

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 764

List of positive integer factors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Least Common Multiple of 756 and 764 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 764, than apply into the LCM equation.

GCF(756,764) = 4
LCM(756,764) = ( 756 × 764) / 4
LCM(756,764) = 577584 / 4
LCM(756,764) = 144396

Properties of LCM 756 and 764

(i) The LCM of 764 and 756 is associative

LCM of 756 and 764 = LCM of 764 and 756

Related Least Common Multiples of 756

Related Least Common Multiples of 764

Frequently Asked Questions on LCM of 756 and 764

1. What is the LCM of 756 and 764?

Answer: LCM of 756 and 764 is 144396.

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 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

4. How to Find the LCM of 756 and 764?

Answer:

Least Common Multiple of 756 and 764 = 144396

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 764

764 = 2 x 2 x 191

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

LCM = 144396 = 2 x 2 x 3 x 3 x 3 x 7 x 191

Step 4: Therefore, the least common multiple of 756 and 764 is 144396.