Least Common Multiple of 751 and 758

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 758 the smallest integer that is 569258 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 758 is 569258.

LCM(751,758) = 569258

LCM of 751 and 758

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

LCM of:
and

Least Common Multiple of 751 and 758

LCM of 751 and 758 is 569258

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 758. First we will calculate the prime factors of 751 and 758.

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 758


2 758
379 379
1

Prime factors of 758 are 2,379. Prime factorization of 758 in exponential form is:

758 = 21×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 751 and 758.

LCM(751,758) = 21×3791×7511
LCM(751,758) = 569258

Factors of 751

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

1, 751

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Least Common Multiple of 751 and 758 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 758, than apply into the LCM equation.

GCF(751,758) = 1
LCM(751,758) = ( 751 × 758) / 1
LCM(751,758) = 569258 / 1
LCM(751,758) = 569258

Properties of LCM 751 and 758

(i) The LCM of 758 and 751 is associative

LCM of 751 and 758 = LCM of 758 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 758

Frequently Asked Questions on LCM of 751 and 758

1. What is the LCM of 751 and 758?

Answer: LCM of 751 and 758 is 569258.

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 758?

Answer: Factors of 758 are 1, 2, 379, 758. There are 4 integers that are factors of 758. The greatest factor of 758 is 758.

4. How to Find the LCM of 751 and 758?

Answer:

Least Common Multiple of 751 and 758 = 569258

Step 1: Find the prime factorization of 751

751 = 751

Step 2: Find the prime factorization of 758

758 = 2 x 379

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

LCM = 569258 = 2 x 379 x 751

Step 4: Therefore, the least common multiple of 751 and 758 is 569258.