Least Common Multiple of 739 and 747

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 747 the smallest integer that is 552033 that is divisible by both numbers.

Least Common Multiple (LCM) of 739 and 747 is 552033.

LCM(739,747) = 552033

LCM of 739 and 747

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

LCM of:
and

Least Common Multiple of 739 and 747

LCM of 739 and 747 is 552033

Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 747. First we will calculate the prime factors of 739 and 747.

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 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

Now multiplying the highest exponent prime factors to calculate the LCM of 739 and 747.

LCM(739,747) = 32×831×7391
LCM(739,747) = 552033

Factors of 739

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

1, 739

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Least Common Multiple of 739 and 747 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 747, than apply into the LCM equation.

GCF(739,747) = 1
LCM(739,747) = ( 739 × 747) / 1
LCM(739,747) = 552033 / 1
LCM(739,747) = 552033

Properties of LCM 739 and 747

(i) The LCM of 747 and 739 is associative

LCM of 739 and 747 = LCM of 747 and 739

Related Least Common Multiples of 739

Related Least Common Multiples of 747

Frequently Asked Questions on LCM of 739 and 747

1. What is the LCM of 739 and 747?

Answer: LCM of 739 and 747 is 552033.

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 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

4. How to Find the LCM of 739 and 747?

Answer:

Least Common Multiple of 739 and 747 = 552033

Step 1: Find the prime factorization of 739

739 = 739

Step 2: Find the prime factorization of 747

747 = 3 x 3 x 83

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

LCM = 552033 = 3 x 3 x 83 x 739

Step 4: Therefore, the least common multiple of 739 and 747 is 552033.