Least Common Multiple of 2742 and 2747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2742 and 2747 the smallest integer that is 7532274 that is divisible by both numbers.

Least Common Multiple (LCM) of 2742 and 2747 is 7532274.

LCM(2742,2747) = 7532274

LCM of 2742 and 2747

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

LCM of:
and

Least Common Multiple of 2742 and 2747

LCM of 2742 and 2747 is 7532274

Least common multiple can be found by multiplying the highest exponent prime factors of 2742 and 2747. First we will calculate the prime factors of 2742 and 2747.

Prime Factorization of 2742


2 2742
3 1371
457 457
1

Prime factors of 2742 are 2, 3,457. Prime factorization of 2742 in exponential form is:

2742 = 21×31×4571

Prime Factorization of 2747


41 2747
67 67
1

Prime factors of 2747 are 41,67. Prime factorization of 2747 in exponential form is:

2747 = 411×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2742 and 2747.

LCM(2742,2747) = 21×31×411×671×4571
LCM(2742,2747) = 7532274

Factors of 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1, 2, 3, 6, 457, 914, 1371, 2742

Factors of 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1, 41, 67, 2747

Least Common Multiple of 2742 and 2747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2742 and 2747, than apply into the LCM equation.

GCF(2742,2747) = 1
LCM(2742,2747) = ( 2742 × 2747) / 1
LCM(2742,2747) = 7532274 / 1
LCM(2742,2747) = 7532274

Properties of LCM 2742 and 2747

(i) The LCM of 2747 and 2742 is associative

LCM of 2742 and 2747 = LCM of 2747 and 2742

Related Least Common Multiples of 2742

Related Least Common Multiples of 2747

Frequently Asked Questions on LCM of 2742 and 2747

1. What is the LCM of 2742 and 2747?

Answer: LCM of 2742 and 2747 is 7532274.

2. What are the Factors of 2742?

Answer: Factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742. There are 8 integers that are factors of 2742. The greatest factor of 2742 is 2742.

3. What are the Factors of 2747?

Answer: Factors of 2747 are 1, 41, 67, 2747. There are 4 integers that are factors of 2747. The greatest factor of 2747 is 2747.

4. How to Find the LCM of 2742 and 2747?

Answer:

Least Common Multiple of 2742 and 2747 = 7532274

Step 1: Find the prime factorization of 2742

2742 = 2 x 3 x 457

Step 2: Find the prime factorization of 2747

2747 = 41 x 67

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

LCM = 7532274 = 2 x 3 x 41 x 67 x 457

Step 4: Therefore, the least common multiple of 2742 and 2747 is 7532274.