Least Common Multiple of 744 and 750

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 750 the smallest integer that is 93000 that is divisible by both numbers.

Least Common Multiple (LCM) of 744 and 750 is 93000.

LCM(744,750) = 93000

LCM of 744 and 750

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

LCM of:
and

Least Common Multiple of 744 and 750

LCM of 744 and 750 is 93000

Least common multiple can be found by multiplying the highest exponent prime factors of 744 and 750. First we will calculate the prime factors of 744 and 750.

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 750


2 750
3 375
5 125
5 25
5 5
1

Prime factors of 750 are 2, 3,5. Prime factorization of 750 in exponential form is:

750 = 21×31×53

Now multiplying the highest exponent prime factors to calculate the LCM of 744 and 750.

LCM(744,750) = 23×31×53×311
LCM(744,750) = 93000

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 750

List of positive integer factors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Least Common Multiple of 744 and 750 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 750, than apply into the LCM equation.

GCF(744,750) = 6
LCM(744,750) = ( 744 × 750) / 6
LCM(744,750) = 558000 / 6
LCM(744,750) = 93000

Properties of LCM 744 and 750

(i) The LCM of 750 and 744 is associative

LCM of 744 and 750 = LCM of 750 and 744

Related Least Common Multiples of 744

Related Least Common Multiples of 750

Frequently Asked Questions on LCM of 744 and 750

1. What is the LCM of 744 and 750?

Answer: LCM of 744 and 750 is 93000.

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 750?

Answer: Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750. There are 16 integers that are factors of 750. The greatest factor of 750 is 750.

4. How to Find the LCM of 744 and 750?

Answer:

Least Common Multiple of 744 and 750 = 93000

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 750

750 = 2 x 3 x 5 x 5 x 5

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

LCM = 93000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 31

Step 4: Therefore, the least common multiple of 744 and 750 is 93000.