Least Common Multiple of 739 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 739 and 744 the smallest integer that is 549816 that is divisible by both numbers.

Least Common Multiple (LCM) of 739 and 744 is 549816.

LCM(739,744) = 549816

LCM of 739 and 744

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

LCM of:
and

Least Common Multiple of 739 and 744

LCM of 739 and 744 is 549816

Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 744. First we will calculate the prime factors of 739 and 744.

Prime Factorization of 739


739 739
1

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

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 739 and 744.

LCM(739,744) = 23×31×311×7391
LCM(739,744) = 549816

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1, 739

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 739 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 739 and 744, than apply into the LCM equation.

GCF(739,744) = 1
LCM(739,744) = ( 739 × 744) / 1
LCM(739,744) = 549816 / 1
LCM(739,744) = 549816

Properties of LCM 739 and 744

(i) The LCM of 744 and 739 is associative

LCM of 739 and 744 = LCM of 744 and 739

Related Least Common Multiples of 739

Related Least Common Multiples of 744

Frequently Asked Questions on LCM of 739 and 744

1. What is the LCM of 739 and 744?

Answer: LCM of 739 and 744 is 549816.

2. What are the Factors of 739?

Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.

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 739 and 744?

Answer:

Least Common Multiple of 739 and 744 = 549816

Step 1: Find the prime factorization of 739

739 = 739

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 = 549816 = 2 x 2 x 2 x 3 x 31 x 739

Step 4: Therefore, the least common multiple of 739 and 744 is 549816.