Least Common Multiple of 739 and 743

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 743 the smallest integer that is 549077 that is divisible by both numbers.

Least Common Multiple (LCM) of 739 and 743 is 549077.

LCM(739,743) = 549077

LCM of 739 and 743

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

LCM of:
and

Least Common Multiple of 739 and 743

LCM of 739 and 743 is 549077

Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 743. First we will calculate the prime factors of 739 and 743.

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 743


743 743
1

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 739 and 743.

LCM(739,743) = 7391×7431
LCM(739,743) = 549077

Factors of 739

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

1, 739

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1, 743

Least Common Multiple of 739 and 743 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 743, than apply into the LCM equation.

GCF(739,743) = 1
LCM(739,743) = ( 739 × 743) / 1
LCM(739,743) = 549077 / 1
LCM(739,743) = 549077

Properties of LCM 739 and 743

(i) The LCM of 743 and 739 is associative

LCM of 739 and 743 = LCM of 743 and 739

Frequently Asked Questions on LCM of 739 and 743

1. What is the LCM of 739 and 743?

Answer: LCM of 739 and 743 is 549077.

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 743?

Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.

4. How to Find the LCM of 739 and 743?

Answer:

Least Common Multiple of 739 and 743 = 549077

Step 1: Find the prime factorization of 739

739 = 739

Step 2: Find the prime factorization of 743

743 = 743

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

LCM = 549077 = 739 x 743

Step 4: Therefore, the least common multiple of 739 and 743 is 549077.