Least Common Multiple of 752 and 760

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 760 the smallest integer that is 71440 that is divisible by both numbers.

Least Common Multiple (LCM) of 752 and 760 is 71440.

LCM(752,760) = 71440

LCM of 752 and 760

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

LCM of:
and

Least Common Multiple of 752 and 760

LCM of 752 and 760 is 71440

Least common multiple can be found by multiplying the highest exponent prime factors of 752 and 760. First we will calculate the prime factors of 752 and 760.

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 760


2 760
2 380
2 190
5 95
19 19
1

Prime factors of 760 are 2, 5,19. Prime factorization of 760 in exponential form is:

760 = 23×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 752 and 760.

LCM(752,760) = 24×51×191×471
LCM(752,760) = 71440

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 760

List of positive integer factors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Least Common Multiple of 752 and 760 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 760, than apply into the LCM equation.

GCF(752,760) = 8
LCM(752,760) = ( 752 × 760) / 8
LCM(752,760) = 571520 / 8
LCM(752,760) = 71440

Properties of LCM 752 and 760

(i) The LCM of 760 and 752 is associative

LCM of 752 and 760 = LCM of 760 and 752

Related Least Common Multiples of 752

Related Least Common Multiples of 760

Frequently Asked Questions on LCM of 752 and 760

1. What is the LCM of 752 and 760?

Answer: LCM of 752 and 760 is 71440.

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 760?

Answer: Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. There are 16 integers that are factors of 760. The greatest factor of 760 is 760.

4. How to Find the LCM of 752 and 760?

Answer:

Least Common Multiple of 752 and 760 = 71440

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 760

760 = 2 x 2 x 2 x 5 x 19

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

LCM = 71440 = 2 x 2 x 2 x 2 x 5 x 19 x 47

Step 4: Therefore, the least common multiple of 752 and 760 is 71440.