Least Common Multiple of 2638 and 2646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2638 and 2646 the smallest integer that is 3490074 that is divisible by both numbers.

Least Common Multiple (LCM) of 2638 and 2646 is 3490074.

LCM(2638,2646) = 3490074

LCM of 2638 and 2646

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

LCM of:
and

Least Common Multiple of 2638 and 2646

LCM of 2638 and 2646 is 3490074

Least common multiple can be found by multiplying the highest exponent prime factors of 2638 and 2646. First we will calculate the prime factors of 2638 and 2646.

Prime Factorization of 2638


2 2638
1319 1319
1

Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:

2638 = 21×13191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2638 and 2646.

LCM(2638,2646) = 21×33×72×13191
LCM(2638,2646) = 3490074

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1, 2, 1319, 2638

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

Least Common Multiple of 2638 and 2646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2638 and 2646, than apply into the LCM equation.

GCF(2638,2646) = 2
LCM(2638,2646) = ( 2638 × 2646) / 2
LCM(2638,2646) = 6980148 / 2
LCM(2638,2646) = 3490074

Properties of LCM 2638 and 2646

(i) The LCM of 2646 and 2638 is associative

LCM of 2638 and 2646 = LCM of 2646 and 2638

Related Least Common Multiples of 2638

Related Least Common Multiples of 2646

Frequently Asked Questions on LCM of 2638 and 2646

1. What is the LCM of 2638 and 2646?

Answer: LCM of 2638 and 2646 is 3490074.

2. What are the Factors of 2638?

Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.

3. 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.

4. How to Find the LCM of 2638 and 2646?

Answer:

Least Common Multiple of 2638 and 2646 = 3490074

Step 1: Find the prime factorization of 2638

2638 = 2 x 1319

Step 2: Find the prime factorization of 2646

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

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

LCM = 3490074 = 2 x 3 x 3 x 3 x 7 x 7 x 1319

Step 4: Therefore, the least common multiple of 2638 and 2646 is 3490074.