Least Common Multiple of 744 and 752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 744 and 752 the smallest integer that is 69936 that is divisible by both numbers.

Least Common Multiple (LCM) of 744 and 752 is 69936.

LCM(744,752) = 69936

LCM of 744 and 752

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

LCM of:
and

Least Common Multiple of 744 and 752

LCM of 744 and 752 is 69936

Least common multiple can be found by multiplying the highest exponent prime factors of 744 and 752. First we will calculate the prime factors of 744 and 752.

Prime Factorization of 744


2 744
2 372
2 186
3 93
31 31
1

Prime factors of 744 are 2, 3,31. Prime factorization of 744 in exponential form is:

744 = 23×31×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 744 and 752.

LCM(744,752) = 24×31×311×471
LCM(744,752) = 69936

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

Least Common Multiple of 744 and 752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 744 and 752, than apply into the LCM equation.

GCF(744,752) = 8
LCM(744,752) = ( 744 × 752) / 8
LCM(744,752) = 559488 / 8
LCM(744,752) = 69936

Properties of LCM 744 and 752

(i) The LCM of 752 and 744 is associative

LCM of 744 and 752 = LCM of 752 and 744

Related Least Common Multiples of 744

Related Least Common Multiples of 752

Frequently Asked Questions on LCM of 744 and 752

1. What is the LCM of 744 and 752?

Answer: LCM of 744 and 752 is 69936.

2. What are the Factors of 744?

Answer: Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. There are 16 integers that are factors of 744. The greatest factor of 744 is 744.

3. 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.

4. How to Find the LCM of 744 and 752?

Answer:

Least Common Multiple of 744 and 752 = 69936

Step 1: Find the prime factorization of 744

744 = 2 x 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 752

752 = 2 x 2 x 2 x 2 x 47

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

LCM = 69936 = 2 x 2 x 2 x 2 x 3 x 31 x 47

Step 4: Therefore, the least common multiple of 744 and 752 is 69936.