Least Common Multiple of 744 and 748

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 748 the smallest integer that is 139128 that is divisible by both numbers.

Least Common Multiple (LCM) of 744 and 748 is 139128.

LCM(744,748) = 139128

LCM of 744 and 748

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

LCM of:
and

Least Common Multiple of 744 and 748

LCM of 744 and 748 is 139128

Least common multiple can be found by multiplying the highest exponent prime factors of 744 and 748. First we will calculate the prime factors of 744 and 748.

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 748


2 748
2 374
11 187
17 17
1

Prime factors of 748 are 2, 11,17. Prime factorization of 748 in exponential form is:

748 = 22×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 744 and 748.

LCM(744,748) = 23×31×111×171×311
LCM(744,748) = 139128

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 748

List of positive integer factors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Least Common Multiple of 744 and 748 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 748, than apply into the LCM equation.

GCF(744,748) = 4
LCM(744,748) = ( 744 × 748) / 4
LCM(744,748) = 556512 / 4
LCM(744,748) = 139128

Properties of LCM 744 and 748

(i) The LCM of 748 and 744 is associative

LCM of 744 and 748 = LCM of 748 and 744

Related Least Common Multiples of 744

Related Least Common Multiples of 748

Frequently Asked Questions on LCM of 744 and 748

1. What is the LCM of 744 and 748?

Answer: LCM of 744 and 748 is 139128.

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 748?

Answer: Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. There are 12 integers that are factors of 748. The greatest factor of 748 is 748.

4. How to Find the LCM of 744 and 748?

Answer:

Least Common Multiple of 744 and 748 = 139128

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 748

748 = 2 x 2 x 11 x 17

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

LCM = 139128 = 2 x 2 x 2 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 744 and 748 is 139128.