Least Common Multiple of 742 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 742 and 747 the smallest integer that is 554274 that is divisible by both numbers.

Least Common Multiple (LCM) of 742 and 747 is 554274.

LCM(742,747) = 554274

LCM of 742 and 747

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

LCM of:
and

Least Common Multiple of 742 and 747

LCM of 742 and 747 is 554274

Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 747. First we will calculate the prime factors of 742 and 747.

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

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 742 and 747.

LCM(742,747) = 21×32×71×531×831
LCM(742,747) = 554274

Factors of 742

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

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

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 742 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 742 and 747, than apply into the LCM equation.

GCF(742,747) = 1
LCM(742,747) = ( 742 × 747) / 1
LCM(742,747) = 554274 / 1
LCM(742,747) = 554274

Properties of LCM 742 and 747

(i) The LCM of 747 and 742 is associative

LCM of 742 and 747 = LCM of 747 and 742

Related Least Common Multiples of 742

Related Least Common Multiples of 747

Frequently Asked Questions on LCM of 742 and 747

1. What is the LCM of 742 and 747?

Answer: LCM of 742 and 747 is 554274.

2. 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.

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 742 and 747?

Answer:

Least Common Multiple of 742 and 747 = 554274

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

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 = 554274 = 2 x 3 x 3 x 7 x 53 x 83

Step 4: Therefore, the least common multiple of 742 and 747 is 554274.