Least Common Multiple of 738 and 744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 738 and 744 the smallest integer that is 91512 that is divisible by both numbers.

Least Common Multiple (LCM) of 738 and 744 is 91512.

LCM(738,744) = 91512

LCM of 738 and 744

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

LCM of:
and

Least Common Multiple of 738 and 744

LCM of 738 and 744 is 91512

Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 744. First we will calculate the prime factors of 738 and 744.

Prime Factorization of 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 738 and 744.

LCM(738,744) = 23×32×311×411
LCM(738,744) = 91512

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

Least Common Multiple of 738 and 744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 738 and 744, than apply into the LCM equation.

GCF(738,744) = 6
LCM(738,744) = ( 738 × 744) / 6
LCM(738,744) = 549072 / 6
LCM(738,744) = 91512

Properties of LCM 738 and 744

(i) The LCM of 744 and 738 is associative

LCM of 738 and 744 = LCM of 744 and 738

Related Least Common Multiples of 738

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 738 and 744

1. What is the LCM of 738 and 744?

Answer: LCM of 738 and 744 is 91512.

2. What are the Factors of 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

3. 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.

4. How to Find the LCM of 738 and 744?

Answer:

Least Common Multiple of 738 and 744 = 91512

Step 1: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 744

744 = 2 x 2 x 2 x 3 x 31

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

LCM = 91512 = 2 x 2 x 2 x 3 x 3 x 31 x 41

Step 4: Therefore, the least common multiple of 738 and 744 is 91512.