Least Common Multiple of 752 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 752 and 758 the smallest integer that is 285008 that is divisible by both numbers.

Least Common Multiple (LCM) of 752 and 758 is 285008.

LCM(752,758) = 285008

LCM of 752 and 758

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

LCM of:
and

Least Common Multiple of 752 and 758

LCM of 752 and 758 is 285008

Least common multiple can be found by multiplying the highest exponent prime factors of 752 and 758. First we will calculate the prime factors of 752 and 758.

Prime Factorization of 752


2 752
2 376
2 188
2 94
47 47
1

Prime factors of 752 are 2,47. Prime factorization of 752 in exponential form is:

752 = 24×471

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 752 and 758.

LCM(752,758) = 24×471×3791
LCM(752,758) = 285008

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Factors of 758

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

1, 2, 379, 758

Least Common Multiple of 752 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 752 and 758, than apply into the LCM equation.

GCF(752,758) = 2
LCM(752,758) = ( 752 × 758) / 2
LCM(752,758) = 570016 / 2
LCM(752,758) = 285008

Properties of LCM 752 and 758

(i) The LCM of 758 and 752 is associative

LCM of 752 and 758 = LCM of 758 and 752

Related Least Common Multiples of 752

Related Least Common Multiples of 758

Frequently Asked Questions on LCM of 752 and 758

1. What is the LCM of 752 and 758?

Answer: LCM of 752 and 758 is 285008.

2. What are the Factors of 752?

Answer: Factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752. There are 10 integers that are factors of 752. The greatest factor of 752 is 752.

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 752 and 758?

Answer:

Least Common Multiple of 752 and 758 = 285008

Step 1: Find the prime factorization of 752

752 = 2 x 2 x 2 x 2 x 47

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 = 285008 = 2 x 2 x 2 x 2 x 47 x 379

Step 4: Therefore, the least common multiple of 752 and 758 is 285008.