Least Common Multiple of 2746 and 2751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2746 and 2751 the smallest integer that is 7554246 that is divisible by both numbers.

Least Common Multiple (LCM) of 2746 and 2751 is 7554246.

LCM(2746,2751) = 7554246

LCM of 2746 and 2751

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

LCM of:
and

Least Common Multiple of 2746 and 2751

LCM of 2746 and 2751 is 7554246

Least common multiple can be found by multiplying the highest exponent prime factors of 2746 and 2751. First we will calculate the prime factors of 2746 and 2751.

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

Prime Factorization of 2751


3 2751
7 917
131 131
1

Prime factors of 2751 are 3, 7,131. Prime factorization of 2751 in exponential form is:

2751 = 31×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 2746 and 2751.

LCM(2746,2751) = 21×31×71×1311×13731
LCM(2746,2751) = 7554246

Factors of 2746

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

1, 2, 1373, 2746

Factors of 2751

List of positive integer factors of 2751 that divides 2751 without a remainder.

1, 3, 7, 21, 131, 393, 917, 2751

Least Common Multiple of 2746 and 2751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2746 and 2751, than apply into the LCM equation.

GCF(2746,2751) = 1
LCM(2746,2751) = ( 2746 × 2751) / 1
LCM(2746,2751) = 7554246 / 1
LCM(2746,2751) = 7554246

Properties of LCM 2746 and 2751

(i) The LCM of 2751 and 2746 is associative

LCM of 2746 and 2751 = LCM of 2751 and 2746

Related Least Common Multiples of 2746

Related Least Common Multiples of 2751

Frequently Asked Questions on LCM of 2746 and 2751

1. What is the LCM of 2746 and 2751?

Answer: LCM of 2746 and 2751 is 7554246.

2. 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.

3. What are the Factors of 2751?

Answer: Factors of 2751 are 1, 3, 7, 21, 131, 393, 917, 2751. There are 8 integers that are factors of 2751. The greatest factor of 2751 is 2751.

4. How to Find the LCM of 2746 and 2751?

Answer:

Least Common Multiple of 2746 and 2751 = 7554246

Step 1: Find the prime factorization of 2746

2746 = 2 x 1373

Step 2: Find the prime factorization of 2751

2751 = 3 x 7 x 131

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

LCM = 7554246 = 2 x 3 x 7 x 131 x 1373

Step 4: Therefore, the least common multiple of 2746 and 2751 is 7554246.