Least Common Multiple of 739 and 742

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 742 the smallest integer that is 548338 that is divisible by both numbers.

Least Common Multiple (LCM) of 739 and 742 is 548338.

LCM(739,742) = 548338

LCM of 739 and 742

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

LCM of:
and

Least Common Multiple of 739 and 742

LCM of 739 and 742 is 548338

Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 742. First we will calculate the prime factors of 739 and 742.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 739 and 742.

LCM(739,742) = 21×71×531×7391
LCM(739,742) = 548338

Factors of 739

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

1, 739

Factors of 742

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

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

Least Common Multiple of 739 and 742 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 742, than apply into the LCM equation.

GCF(739,742) = 1
LCM(739,742) = ( 739 × 742) / 1
LCM(739,742) = 548338 / 1
LCM(739,742) = 548338

Properties of LCM 739 and 742

(i) The LCM of 742 and 739 is associative

LCM of 739 and 742 = LCM of 742 and 739

Related Least Common Multiples of 739

Related Least Common Multiples of 742

Frequently Asked Questions on LCM of 739 and 742

1. What is the LCM of 739 and 742?

Answer: LCM of 739 and 742 is 548338.

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 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.

4. How to Find the LCM of 739 and 742?

Answer:

Least Common Multiple of 739 and 742 = 548338

Step 1: Find the prime factorization of 739

739 = 739

Step 2: Find the prime factorization of 742

742 = 2 x 7 x 53

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 548338 = 2 x 7 x 53 x 739

Step 4: Therefore, the least common multiple of 739 and 742 is 548338.