Least Common Multiple of 6638 and 6645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6638 and 6645 the smallest integer that is 44109510 that is divisible by both numbers.

Least Common Multiple (LCM) of 6638 and 6645 is 44109510.

LCM(6638,6645) = 44109510

LCM of 6638 and 6645

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

LCM of:
and

Least Common Multiple of 6638 and 6645

LCM of 6638 and 6645 is 44109510

Least common multiple can be found by multiplying the highest exponent prime factors of 6638 and 6645. First we will calculate the prime factors of 6638 and 6645.

Prime Factorization of 6638


2 6638
3319 3319
1

Prime factors of 6638 are 2,3319. Prime factorization of 6638 in exponential form is:

6638 = 21×33191

Prime Factorization of 6645


3 6645
5 2215
443 443
1

Prime factors of 6645 are 3, 5,443. Prime factorization of 6645 in exponential form is:

6645 = 31×51×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 6638 and 6645.

LCM(6638,6645) = 21×31×51×4431×33191
LCM(6638,6645) = 44109510

Factors of 6638

List of positive integer factors of 6638 that divides 6638 without a remainder.

1, 2, 3319, 6638

Factors of 6645

List of positive integer factors of 6645 that divides 6645 without a remainder.

1, 3, 5, 15, 443, 1329, 2215, 6645

Least Common Multiple of 6638 and 6645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6638 and 6645, than apply into the LCM equation.

GCF(6638,6645) = 1
LCM(6638,6645) = ( 6638 × 6645) / 1
LCM(6638,6645) = 44109510 / 1
LCM(6638,6645) = 44109510

Properties of LCM 6638 and 6645

(i) The LCM of 6645 and 6638 is associative

LCM of 6638 and 6645 = LCM of 6645 and 6638

Related Least Common Multiples of 6638

Related Least Common Multiples of 6645

Frequently Asked Questions on LCM of 6638 and 6645

1. What is the LCM of 6638 and 6645?

Answer: LCM of 6638 and 6645 is 44109510.

2. What are the Factors of 6638?

Answer: Factors of 6638 are 1, 2, 3319, 6638. There are 4 integers that are factors of 6638. The greatest factor of 6638 is 6638.

3. What are the Factors of 6645?

Answer: Factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645. There are 8 integers that are factors of 6645. The greatest factor of 6645 is 6645.

4. How to Find the LCM of 6638 and 6645?

Answer:

Least Common Multiple of 6638 and 6645 = 44109510

Step 1: Find the prime factorization of 6638

6638 = 2 x 3319

Step 2: Find the prime factorization of 6645

6645 = 3 x 5 x 443

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

LCM = 44109510 = 2 x 3 x 5 x 443 x 3319

Step 4: Therefore, the least common multiple of 6638 and 6645 is 44109510.