Least Common Multiple of 2749 and 2755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2749 and 2755 the smallest integer that is 7573495 that is divisible by both numbers.

Least Common Multiple (LCM) of 2749 and 2755 is 7573495.

LCM(2749,2755) = 7573495

LCM of 2749 and 2755

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

LCM of:
and

Least Common Multiple of 2749 and 2755

LCM of 2749 and 2755 is 7573495

Least common multiple can be found by multiplying the highest exponent prime factors of 2749 and 2755. First we will calculate the prime factors of 2749 and 2755.

Prime Factorization of 2749


2749 2749
1

Prime factors of 2749 are 2749. Prime factorization of 2749 in exponential form is:

2749 = 27491

Prime Factorization of 2755


5 2755
19 551
29 29
1

Prime factors of 2755 are 5, 19,29. Prime factorization of 2755 in exponential form is:

2755 = 51×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2749 and 2755.

LCM(2749,2755) = 51×191×291×27491
LCM(2749,2755) = 7573495

Factors of 2749

List of positive integer factors of 2749 that divides 2749 without a remainder.

1, 2749

Factors of 2755

List of positive integer factors of 2755 that divides 2755 without a remainder.

1, 5, 19, 29, 95, 145, 551, 2755

Least Common Multiple of 2749 and 2755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2749 and 2755, than apply into the LCM equation.

GCF(2749,2755) = 1
LCM(2749,2755) = ( 2749 × 2755) / 1
LCM(2749,2755) = 7573495 / 1
LCM(2749,2755) = 7573495

Properties of LCM 2749 and 2755

(i) The LCM of 2755 and 2749 is associative

LCM of 2749 and 2755 = LCM of 2755 and 2749

Related Least Common Multiples of 2749

Related Least Common Multiples of 2755

Frequently Asked Questions on LCM of 2749 and 2755

1. What is the LCM of 2749 and 2755?

Answer: LCM of 2749 and 2755 is 7573495.

2. What are the Factors of 2749?

Answer: Factors of 2749 are 1, 2749. There are 2 integers that are factors of 2749. The greatest factor of 2749 is 2749.

3. What are the Factors of 2755?

Answer: Factors of 2755 are 1, 5, 19, 29, 95, 145, 551, 2755. There are 8 integers that are factors of 2755. The greatest factor of 2755 is 2755.

4. How to Find the LCM of 2749 and 2755?

Answer:

Least Common Multiple of 2749 and 2755 = 7573495

Step 1: Find the prime factorization of 2749

2749 = 2749

Step 2: Find the prime factorization of 2755

2755 = 5 x 19 x 29

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

LCM = 7573495 = 5 x 19 x 29 x 2749

Step 4: Therefore, the least common multiple of 2749 and 2755 is 7573495.