Least Common Multiple of 740 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 740 and 744 the smallest integer that is 137640 that is divisible by both numbers.

Least Common Multiple (LCM) of 740 and 744 is 137640.

LCM(740,744) = 137640

LCM of 740 and 744

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

LCM of:
and

Least Common Multiple of 740 and 744

LCM of 740 and 744 is 137640

Least common multiple can be found by multiplying the highest exponent prime factors of 740 and 744. First we will calculate the prime factors of 740 and 744.

Prime Factorization of 740


2 740
2 370
5 185
37 37
1

Prime factors of 740 are 2, 5,37. Prime factorization of 740 in exponential form is:

740 = 22×51×371

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 740 and 744.

LCM(740,744) = 23×31×51×311×371
LCM(740,744) = 137640

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 740 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 740 and 744, than apply into the LCM equation.

GCF(740,744) = 4
LCM(740,744) = ( 740 × 744) / 4
LCM(740,744) = 550560 / 4
LCM(740,744) = 137640

Properties of LCM 740 and 744

(i) The LCM of 744 and 740 is associative

LCM of 740 and 744 = LCM of 744 and 740

Related Least Common Multiples of 740

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 740 and 744

1. What is the LCM of 740 and 744?

Answer: LCM of 740 and 744 is 137640.

2. What are the Factors of 740?

Answer: Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 integers that are factors of 740. The greatest factor of 740 is 740.

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 740 and 744?

Answer:

Least Common Multiple of 740 and 744 = 137640

Step 1: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

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 = 137640 = 2 x 2 x 2 x 3 x 5 x 31 x 37

Step 4: Therefore, the least common multiple of 740 and 744 is 137640.