Least Common Multiple of 2735 and 2742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2735 and 2742 the smallest integer that is 7499370 that is divisible by both numbers.

Least Common Multiple (LCM) of 2735 and 2742 is 7499370.

LCM(2735,2742) = 7499370

LCM of 2735 and 2742

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

LCM of:
and

Least Common Multiple of 2735 and 2742

LCM of 2735 and 2742 is 7499370

Least common multiple can be found by multiplying the highest exponent prime factors of 2735 and 2742. First we will calculate the prime factors of 2735 and 2742.

Prime Factorization of 2735


5 2735
547 547
1

Prime factors of 2735 are 5,547. Prime factorization of 2735 in exponential form is:

2735 = 51×5471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2735 and 2742.

LCM(2735,2742) = 21×31×51×4571×5471
LCM(2735,2742) = 7499370

Factors of 2735

List of positive integer factors of 2735 that divides 2735 without a remainder.

1, 5, 547, 2735

Factors of 2742

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

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

Least Common Multiple of 2735 and 2742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2735 and 2742, than apply into the LCM equation.

GCF(2735,2742) = 1
LCM(2735,2742) = ( 2735 × 2742) / 1
LCM(2735,2742) = 7499370 / 1
LCM(2735,2742) = 7499370

Properties of LCM 2735 and 2742

(i) The LCM of 2742 and 2735 is associative

LCM of 2735 and 2742 = LCM of 2742 and 2735

Related Least Common Multiples of 2735

Related Least Common Multiples of 2742

Frequently Asked Questions on LCM of 2735 and 2742

1. What is the LCM of 2735 and 2742?

Answer: LCM of 2735 and 2742 is 7499370.

2. What are the Factors of 2735?

Answer: Factors of 2735 are 1, 5, 547, 2735. There are 4 integers that are factors of 2735. The greatest factor of 2735 is 2735.

3. 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.

4. How to Find the LCM of 2735 and 2742?

Answer:

Least Common Multiple of 2735 and 2742 = 7499370

Step 1: Find the prime factorization of 2735

2735 = 5 x 547

Step 2: Find the prime factorization of 2742

2742 = 2 x 3 x 457

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

LCM = 7499370 = 2 x 3 x 5 x 457 x 547

Step 4: Therefore, the least common multiple of 2735 and 2742 is 7499370.