Least Common Multiple of 751 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 751 and 757 the smallest integer that is 568507 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 757 is 568507.

LCM(751,757) = 568507

LCM of 751 and 757

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

LCM of:
and

Least Common Multiple of 751 and 757

LCM of 751 and 757 is 568507

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 757. First we will calculate the prime factors of 751 and 757.

Prime Factorization of 751


751 751
1

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

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 751 and 757.

LCM(751,757) = 7511×7571
LCM(751,757) = 568507

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1, 751

Factors of 757

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

1, 757

Least Common Multiple of 751 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 751 and 757, than apply into the LCM equation.

GCF(751,757) = 1
LCM(751,757) = ( 751 × 757) / 1
LCM(751,757) = 568507 / 1
LCM(751,757) = 568507

Properties of LCM 751 and 757

(i) The LCM of 757 and 751 is associative

LCM of 751 and 757 = LCM of 757 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 757

Frequently Asked Questions on LCM of 751 and 757

1. What is the LCM of 751 and 757?

Answer: LCM of 751 and 757 is 568507.

2. What are the Factors of 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

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 751 and 757?

Answer:

Least Common Multiple of 751 and 757 = 568507

Step 1: Find the prime factorization of 751

751 = 751

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 = 568507 = 751 x 757

Step 4: Therefore, the least common multiple of 751 and 757 is 568507.