Least Common Multiple of 736 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 736 and 744 the smallest integer that is 68448 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 744 is 68448.

LCM(736,744) = 68448

LCM of 736 and 744

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

LCM of:
and

Least Common Multiple of 736 and 744

LCM of 736 and 744 is 68448

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 744. First we will calculate the prime factors of 736 and 744.

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

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 736 and 744.

LCM(736,744) = 25×31×231×311
LCM(736,744) = 68448

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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 736 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 736 and 744, than apply into the LCM equation.

GCF(736,744) = 8
LCM(736,744) = ( 736 × 744) / 8
LCM(736,744) = 547584 / 8
LCM(736,744) = 68448

Properties of LCM 736 and 744

(i) The LCM of 744 and 736 is associative

LCM of 736 and 744 = LCM of 744 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 736 and 744

1. What is the LCM of 736 and 744?

Answer: LCM of 736 and 744 is 68448.

2. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

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 736 and 744?

Answer:

Least Common Multiple of 736 and 744 = 68448

Step 1: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

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 = 68448 = 2 x 2 x 2 x 2 x 2 x 3 x 23 x 31

Step 4: Therefore, the least common multiple of 736 and 744 is 68448.