Least Common Multiple of 751 and 753

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 753 the smallest integer that is 565503 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 753 is 565503.

LCM(751,753) = 565503

LCM of 751 and 753

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

LCM of:
and

Least Common Multiple of 751 and 753

LCM of 751 and 753 is 565503

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 753. First we will calculate the prime factors of 751 and 753.

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 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 751 and 753.

LCM(751,753) = 31×2511×7511
LCM(751,753) = 565503

Factors of 751

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

1, 751

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Least Common Multiple of 751 and 753 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 753, than apply into the LCM equation.

GCF(751,753) = 1
LCM(751,753) = ( 751 × 753) / 1
LCM(751,753) = 565503 / 1
LCM(751,753) = 565503

Properties of LCM 751 and 753

(i) The LCM of 753 and 751 is associative

LCM of 751 and 753 = LCM of 753 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 753

Frequently Asked Questions on LCM of 751 and 753

1. What is the LCM of 751 and 753?

Answer: LCM of 751 and 753 is 565503.

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 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

4. How to Find the LCM of 751 and 753?

Answer:

Least Common Multiple of 751 and 753 = 565503

Step 1: Find the prime factorization of 751

751 = 751

Step 2: Find the prime factorization of 753

753 = 3 x 251

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

LCM = 565503 = 3 x 251 x 751

Step 4: Therefore, the least common multiple of 751 and 753 is 565503.