Least Common Multiple of 753 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 753 and 758 the smallest integer that is 570774 that is divisible by both numbers.

Least Common Multiple (LCM) of 753 and 758 is 570774.

LCM(753,758) = 570774

LCM of 753 and 758

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

LCM of:
and

Least Common Multiple of 753 and 758

LCM of 753 and 758 is 570774

Least common multiple can be found by multiplying the highest exponent prime factors of 753 and 758. First we will calculate the prime factors of 753 and 758.

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

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 753 and 758.

LCM(753,758) = 21×31×2511×3791
LCM(753,758) = 570774

Factors of 753

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

1, 3, 251, 753

Factors of 758

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

1, 2, 379, 758

Least Common Multiple of 753 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 753 and 758, than apply into the LCM equation.

GCF(753,758) = 1
LCM(753,758) = ( 753 × 758) / 1
LCM(753,758) = 570774 / 1
LCM(753,758) = 570774

Properties of LCM 753 and 758

(i) The LCM of 758 and 753 is associative

LCM of 753 and 758 = LCM of 758 and 753

Related Least Common Multiples of 753

Related Least Common Multiples of 758

Frequently Asked Questions on LCM of 753 and 758

1. What is the LCM of 753 and 758?

Answer: LCM of 753 and 758 is 570774.

2. 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.

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 753 and 758?

Answer:

Least Common Multiple of 753 and 758 = 570774

Step 1: Find the prime factorization of 753

753 = 3 x 251

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 = 570774 = 2 x 3 x 251 x 379

Step 4: Therefore, the least common multiple of 753 and 758 is 570774.