Least Common Multiple of 2733 and 2741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2733 and 2741 the smallest integer that is 7491153 that is divisible by both numbers.

Least Common Multiple (LCM) of 2733 and 2741 is 7491153.

LCM(2733,2741) = 7491153

LCM of 2733 and 2741

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

LCM of:
and

Least Common Multiple of 2733 and 2741

LCM of 2733 and 2741 is 7491153

Least common multiple can be found by multiplying the highest exponent prime factors of 2733 and 2741. First we will calculate the prime factors of 2733 and 2741.

Prime Factorization of 2733


3 2733
911 911
1

Prime factors of 2733 are 3,911. Prime factorization of 2733 in exponential form is:

2733 = 31×9111

Prime Factorization of 2741


2741 2741
1

Prime factors of 2741 are 2741. Prime factorization of 2741 in exponential form is:

2741 = 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 2733 and 2741.

LCM(2733,2741) = 31×9111×27411
LCM(2733,2741) = 7491153

Factors of 2733

List of positive integer factors of 2733 that divides 2733 without a remainder.

1, 3, 911, 2733

Factors of 2741

List of positive integer factors of 2741 that divides 2741 without a remainder.

1, 2741

Least Common Multiple of 2733 and 2741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2733 and 2741, than apply into the LCM equation.

GCF(2733,2741) = 1
LCM(2733,2741) = ( 2733 × 2741) / 1
LCM(2733,2741) = 7491153 / 1
LCM(2733,2741) = 7491153

Properties of LCM 2733 and 2741

(i) The LCM of 2741 and 2733 is associative

LCM of 2733 and 2741 = LCM of 2741 and 2733

Related Least Common Multiples of 2733

Related Least Common Multiples of 2741

Frequently Asked Questions on LCM of 2733 and 2741

1. What is the LCM of 2733 and 2741?

Answer: LCM of 2733 and 2741 is 7491153.

2. What are the Factors of 2733?

Answer: Factors of 2733 are 1, 3, 911, 2733. There are 4 integers that are factors of 2733. The greatest factor of 2733 is 2733.

3. What are the Factors of 2741?

Answer: Factors of 2741 are 1, 2741. There are 2 integers that are factors of 2741. The greatest factor of 2741 is 2741.

4. How to Find the LCM of 2733 and 2741?

Answer:

Least Common Multiple of 2733 and 2741 = 7491153

Step 1: Find the prime factorization of 2733

2733 = 3 x 911

Step 2: Find the prime factorization of 2741

2741 = 2741

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

LCM = 7491153 = 3 x 911 x 2741

Step 4: Therefore, the least common multiple of 2733 and 2741 is 7491153.