Least Common Multiple of 2742 and 2746

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 2746 the smallest integer that is 3764766 that is divisible by both numbers.

Least Common Multiple (LCM) of 2742 and 2746 is 3764766.

LCM(2742,2746) = 3764766

LCM of 2742 and 2746

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

LCM of:
and

Least Common Multiple of 2742 and 2746

LCM of 2742 and 2746 is 3764766

Least common multiple can be found by multiplying the highest exponent prime factors of 2742 and 2746. First we will calculate the prime factors of 2742 and 2746.

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 2746


2 2746
1373 1373
1

Prime factors of 2746 are 2,1373. Prime factorization of 2746 in exponential form is:

2746 = 21×13731

Now multiplying the highest exponent prime factors to calculate the LCM of 2742 and 2746.

LCM(2742,2746) = 21×31×4571×13731
LCM(2742,2746) = 3764766

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 2746

List of positive integer factors of 2746 that divides 2746 without a remainder.

1, 2, 1373, 2746

Least Common Multiple of 2742 and 2746 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 2746, than apply into the LCM equation.

GCF(2742,2746) = 2
LCM(2742,2746) = ( 2742 × 2746) / 2
LCM(2742,2746) = 7529532 / 2
LCM(2742,2746) = 3764766

Properties of LCM 2742 and 2746

(i) The LCM of 2746 and 2742 is associative

LCM of 2742 and 2746 = LCM of 2746 and 2742

Related Least Common Multiples of 2742

Related Least Common Multiples of 2746

Frequently Asked Questions on LCM of 2742 and 2746

1. What is the LCM of 2742 and 2746?

Answer: LCM of 2742 and 2746 is 3764766.

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 2746?

Answer: Factors of 2746 are 1, 2, 1373, 2746. There are 4 integers that are factors of 2746. The greatest factor of 2746 is 2746.

4. How to Find the LCM of 2742 and 2746?

Answer:

Least Common Multiple of 2742 and 2746 = 3764766

Step 1: Find the prime factorization of 2742

2742 = 2 x 3 x 457

Step 2: Find the prime factorization of 2746

2746 = 2 x 1373

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

LCM = 3764766 = 2 x 3 x 457 x 1373

Step 4: Therefore, the least common multiple of 2742 and 2746 is 3764766.