Least Common Multiple of 751 and 754

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 754 the smallest integer that is 566254 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 754 is 566254.

LCM(751,754) = 566254

LCM of 751 and 754

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

LCM of:
and

Least Common Multiple of 751 and 754

LCM of 751 and 754 is 566254

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 754. First we will calculate the prime factors of 751 and 754.

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 754


2 754
13 377
29 29
1

Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 751 and 754.

LCM(751,754) = 21×131×291×7511
LCM(751,754) = 566254

Factors of 751

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

1, 751

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Least Common Multiple of 751 and 754 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 754, than apply into the LCM equation.

GCF(751,754) = 1
LCM(751,754) = ( 751 × 754) / 1
LCM(751,754) = 566254 / 1
LCM(751,754) = 566254

Properties of LCM 751 and 754

(i) The LCM of 754 and 751 is associative

LCM of 751 and 754 = LCM of 754 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 754

Frequently Asked Questions on LCM of 751 and 754

1. What is the LCM of 751 and 754?

Answer: LCM of 751 and 754 is 566254.

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 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

4. How to Find the LCM of 751 and 754?

Answer:

Least Common Multiple of 751 and 754 = 566254

Step 1: Find the prime factorization of 751

751 = 751

Step 2: Find the prime factorization of 754

754 = 2 x 13 x 29

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

LCM = 566254 = 2 x 13 x 29 x 751

Step 4: Therefore, the least common multiple of 751 and 754 is 566254.