Least Common Multiple of 2746 and 2752

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 2752 the smallest integer that is 3778496 that is divisible by both numbers.

Least Common Multiple (LCM) of 2746 and 2752 is 3778496.

LCM(2746,2752) = 3778496

LCM of 2746 and 2752

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

LCM of:
and

Least Common Multiple of 2746 and 2752

LCM of 2746 and 2752 is 3778496

Least common multiple can be found by multiplying the highest exponent prime factors of 2746 and 2752. First we will calculate the prime factors of 2746 and 2752.

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 2752


2 2752
2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 2752 are 2,43. Prime factorization of 2752 in exponential form is:

2752 = 26×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2746 and 2752.

LCM(2746,2752) = 26×431×13731
LCM(2746,2752) = 3778496

Factors of 2746

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

1, 2, 1373, 2746

Factors of 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752

Least Common Multiple of 2746 and 2752 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 2752, than apply into the LCM equation.

GCF(2746,2752) = 2
LCM(2746,2752) = ( 2746 × 2752) / 2
LCM(2746,2752) = 7556992 / 2
LCM(2746,2752) = 3778496

Properties of LCM 2746 and 2752

(i) The LCM of 2752 and 2746 is associative

LCM of 2746 and 2752 = LCM of 2752 and 2746

Related Least Common Multiples of 2746

Related Least Common Multiples of 2752

Frequently Asked Questions on LCM of 2746 and 2752

1. What is the LCM of 2746 and 2752?

Answer: LCM of 2746 and 2752 is 3778496.

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 2752?

Answer: Factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752. There are 14 integers that are factors of 2752. The greatest factor of 2752 is 2752.

4. How to Find the LCM of 2746 and 2752?

Answer:

Least Common Multiple of 2746 and 2752 = 3778496

Step 1: Find the prime factorization of 2746

2746 = 2 x 1373

Step 2: Find the prime factorization of 2752

2752 = 2 x 2 x 2 x 2 x 2 x 2 x 43

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

LCM = 3778496 = 2 x 2 x 2 x 2 x 2 x 2 x 43 x 1373

Step 4: Therefore, the least common multiple of 2746 and 2752 is 3778496.