Least Common Multiple of 2638 and 2645

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 2645 the smallest integer that is 6977510 that is divisible by both numbers.

Least Common Multiple (LCM) of 2638 and 2645 is 6977510.

LCM(2638,2645) = 6977510

LCM of 2638 and 2645

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

LCM of:
and

Least Common Multiple of 2638 and 2645

LCM of 2638 and 2645 is 6977510

Least common multiple can be found by multiplying the highest exponent prime factors of 2638 and 2645. First we will calculate the prime factors of 2638 and 2645.

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 2645


5 2645
23 529
23 23
1

Prime factors of 2645 are 5,23. Prime factorization of 2645 in exponential form is:

2645 = 51×232

Now multiplying the highest exponent prime factors to calculate the LCM of 2638 and 2645.

LCM(2638,2645) = 21×51×232×13191
LCM(2638,2645) = 6977510

Factors of 2638

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

1, 2, 1319, 2638

Factors of 2645

List of positive integer factors of 2645 that divides 2645 without a remainder.

1, 5, 23, 115, 529, 2645

Least Common Multiple of 2638 and 2645 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 2645, than apply into the LCM equation.

GCF(2638,2645) = 1
LCM(2638,2645) = ( 2638 × 2645) / 1
LCM(2638,2645) = 6977510 / 1
LCM(2638,2645) = 6977510

Properties of LCM 2638 and 2645

(i) The LCM of 2645 and 2638 is associative

LCM of 2638 and 2645 = LCM of 2645 and 2638

Related Least Common Multiples of 2638

Related Least Common Multiples of 2645

Frequently Asked Questions on LCM of 2638 and 2645

1. What is the LCM of 2638 and 2645?

Answer: LCM of 2638 and 2645 is 6977510.

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 2645?

Answer: Factors of 2645 are 1, 5, 23, 115, 529, 2645. There are 6 integers that are factors of 2645. The greatest factor of 2645 is 2645.

4. How to Find the LCM of 2638 and 2645?

Answer:

Least Common Multiple of 2638 and 2645 = 6977510

Step 1: Find the prime factorization of 2638

2638 = 2 x 1319

Step 2: Find the prime factorization of 2645

2645 = 5 x 23 x 23

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

LCM = 6977510 = 2 x 5 x 23 x 23 x 1319

Step 4: Therefore, the least common multiple of 2638 and 2645 is 6977510.