Least Common Multiple of 757 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 757 and 764 the smallest integer that is 578348 that is divisible by both numbers.

Least Common Multiple (LCM) of 757 and 764 is 578348.

LCM(757,764) = 578348

LCM of 757 and 764

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

LCM of:
and

Least Common Multiple of 757 and 764

LCM of 757 and 764 is 578348

Least common multiple can be found by multiplying the highest exponent prime factors of 757 and 764. First we will calculate the prime factors of 757 and 764.

Prime Factorization of 757


757 757
1

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

757 = 7571

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 757 and 764.

LCM(757,764) = 22×1911×7571
LCM(757,764) = 578348

Factors of 757

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

1, 757

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 757 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 757 and 764, than apply into the LCM equation.

GCF(757,764) = 1
LCM(757,764) = ( 757 × 764) / 1
LCM(757,764) = 578348 / 1
LCM(757,764) = 578348

Properties of LCM 757 and 764

(i) The LCM of 764 and 757 is associative

LCM of 757 and 764 = LCM of 764 and 757

Related Least Common Multiples of 757

Related Least Common Multiples of 764

Frequently Asked Questions on LCM of 757 and 764

1. What is the LCM of 757 and 764?

Answer: LCM of 757 and 764 is 578348.

2. 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.

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 757 and 764?

Answer:

Least Common Multiple of 757 and 764 = 578348

Step 1: Find the prime factorization of 757

757 = 757

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 = 578348 = 2 x 2 x 191 x 757

Step 4: Therefore, the least common multiple of 757 and 764 is 578348.