Least Common Multiple of 737 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 737 and 744 the smallest integer that is 548328 that is divisible by both numbers.

Least Common Multiple (LCM) of 737 and 744 is 548328.

LCM(737,744) = 548328

LCM of 737 and 744

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

LCM of:
and

Least Common Multiple of 737 and 744

LCM of 737 and 744 is 548328

Least common multiple can be found by multiplying the highest exponent prime factors of 737 and 744. First we will calculate the prime factors of 737 and 744.

Prime Factorization of 737


11 737
67 67
1

Prime factors of 737 are 11,67. Prime factorization of 737 in exponential form is:

737 = 111×671

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 737 and 744.

LCM(737,744) = 23×31×111×311×671
LCM(737,744) = 548328

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1, 11, 67, 737

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 737 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 737 and 744, than apply into the LCM equation.

GCF(737,744) = 1
LCM(737,744) = ( 737 × 744) / 1
LCM(737,744) = 548328 / 1
LCM(737,744) = 548328

Properties of LCM 737 and 744

(i) The LCM of 744 and 737 is associative

LCM of 737 and 744 = LCM of 744 and 737

Related Least Common Multiples of 737

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 737 and 744

1. What is the LCM of 737 and 744?

Answer: LCM of 737 and 744 is 548328.

2. What are the Factors of 737?

Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.

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 737 and 744?

Answer:

Least Common Multiple of 737 and 744 = 548328

Step 1: Find the prime factorization of 737

737 = 11 x 67

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 = 548328 = 2 x 2 x 2 x 3 x 11 x 31 x 67

Step 4: Therefore, the least common multiple of 737 and 744 is 548328.