Least Common Multiple of 2646 and 2648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2646 and 2648 the smallest integer that is 3503304 that is divisible by both numbers.

Least Common Multiple (LCM) of 2646 and 2648 is 3503304.

LCM(2646,2648) = 3503304

LCM of 2646 and 2648

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

LCM of:
and

Least Common Multiple of 2646 and 2648

LCM of 2646 and 2648 is 3503304

Least common multiple can be found by multiplying the highest exponent prime factors of 2646 and 2648. First we will calculate the prime factors of 2646 and 2648.

Prime Factorization of 2646


2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 2646 are 2, 3,7. Prime factorization of 2646 in exponential form is:

2646 = 21×33×72

Prime Factorization of 2648


2 2648
2 1324
2 662
331 331
1

Prime factors of 2648 are 2,331. Prime factorization of 2648 in exponential form is:

2648 = 23×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 2646 and 2648.

LCM(2646,2648) = 23×33×72×3311
LCM(2646,2648) = 3503304

Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1, 2, 4, 8, 331, 662, 1324, 2648

Least Common Multiple of 2646 and 2648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2646 and 2648, than apply into the LCM equation.

GCF(2646,2648) = 2
LCM(2646,2648) = ( 2646 × 2648) / 2
LCM(2646,2648) = 7006608 / 2
LCM(2646,2648) = 3503304

Properties of LCM 2646 and 2648

(i) The LCM of 2648 and 2646 is associative

LCM of 2646 and 2648 = LCM of 2648 and 2646

Related Least Common Multiples of 2646

Related Least Common Multiples of 2648

Frequently Asked Questions on LCM of 2646 and 2648

1. What is the LCM of 2646 and 2648?

Answer: LCM of 2646 and 2648 is 3503304.

2. What are the Factors of 2646?

Answer: Factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646. There are 24 integers that are factors of 2646. The greatest factor of 2646 is 2646.

3. What are the Factors of 2648?

Answer: Factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648. There are 8 integers that are factors of 2648. The greatest factor of 2648 is 2648.

4. How to Find the LCM of 2646 and 2648?

Answer:

Least Common Multiple of 2646 and 2648 = 3503304

Step 1: Find the prime factorization of 2646

2646 = 2 x 3 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 2648

2648 = 2 x 2 x 2 x 331

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

LCM = 3503304 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 331

Step 4: Therefore, the least common multiple of 2646 and 2648 is 3503304.