Least Common Multiple of 2753 and 2761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2753 and 2761 the smallest integer that is 7601033 that is divisible by both numbers.

Least Common Multiple (LCM) of 2753 and 2761 is 7601033.

LCM(2753,2761) = 7601033

LCM of 2753 and 2761

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

LCM of:
and

Least Common Multiple of 2753 and 2761

LCM of 2753 and 2761 is 7601033

Least common multiple can be found by multiplying the highest exponent prime factors of 2753 and 2761. First we will calculate the prime factors of 2753 and 2761.

Prime Factorization of 2753


2753 2753
1

Prime factors of 2753 are 2753. Prime factorization of 2753 in exponential form is:

2753 = 27531

Prime Factorization of 2761


11 2761
251 251
1

Prime factors of 2761 are 11,251. Prime factorization of 2761 in exponential form is:

2761 = 111×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 2753 and 2761.

LCM(2753,2761) = 111×2511×27531
LCM(2753,2761) = 7601033

Factors of 2753

List of positive integer factors of 2753 that divides 2753 without a remainder.

1, 2753

Factors of 2761

List of positive integer factors of 2761 that divides 2761 without a remainder.

1, 11, 251, 2761

Least Common Multiple of 2753 and 2761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2753 and 2761, than apply into the LCM equation.

GCF(2753,2761) = 1
LCM(2753,2761) = ( 2753 × 2761) / 1
LCM(2753,2761) = 7601033 / 1
LCM(2753,2761) = 7601033

Properties of LCM 2753 and 2761

(i) The LCM of 2761 and 2753 is associative

LCM of 2753 and 2761 = LCM of 2761 and 2753

Related Least Common Multiples of 2753

Related Least Common Multiples of 2761

Frequently Asked Questions on LCM of 2753 and 2761

1. What is the LCM of 2753 and 2761?

Answer: LCM of 2753 and 2761 is 7601033.

2. What are the Factors of 2753?

Answer: Factors of 2753 are 1, 2753. There are 2 integers that are factors of 2753. The greatest factor of 2753 is 2753.

3. What are the Factors of 2761?

Answer: Factors of 2761 are 1, 11, 251, 2761. There are 4 integers that are factors of 2761. The greatest factor of 2761 is 2761.

4. How to Find the LCM of 2753 and 2761?

Answer:

Least Common Multiple of 2753 and 2761 = 7601033

Step 1: Find the prime factorization of 2753

2753 = 2753

Step 2: Find the prime factorization of 2761

2761 = 11 x 251

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

LCM = 7601033 = 11 x 251 x 2753

Step 4: Therefore, the least common multiple of 2753 and 2761 is 7601033.