Least Common Multiple of 742 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 742 and 744 the smallest integer that is 276024 that is divisible by both numbers.

Least Common Multiple (LCM) of 742 and 744 is 276024.

LCM(742,744) = 276024

LCM of 742 and 744

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

LCM of:
and

Least Common Multiple of 742 and 744

LCM of 742 and 744 is 276024

Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 744. First we will calculate the prime factors of 742 and 744.

Prime Factorization of 742


2 742
7 371
53 53
1

Prime factors of 742 are 2, 7,53. Prime factorization of 742 in exponential form is:

742 = 21×71×531

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 742 and 744.

LCM(742,744) = 23×31×71×311×531
LCM(742,744) = 276024

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 742 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 742 and 744, than apply into the LCM equation.

GCF(742,744) = 2
LCM(742,744) = ( 742 × 744) / 2
LCM(742,744) = 552048 / 2
LCM(742,744) = 276024

Properties of LCM 742 and 744

(i) The LCM of 744 and 742 is associative

LCM of 742 and 744 = LCM of 744 and 742

Related Least Common Multiples of 742

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 742 and 744

1. What is the LCM of 742 and 744?

Answer: LCM of 742 and 744 is 276024.

2. What are the Factors of 742?

Answer: Factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742. There are 8 integers that are factors of 742. The greatest factor of 742 is 742.

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 742 and 744?

Answer:

Least Common Multiple of 742 and 744 = 276024

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

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 = 276024 = 2 x 2 x 2 x 3 x 7 x 31 x 53

Step 4: Therefore, the least common multiple of 742 and 744 is 276024.