Least Common Multiple of 6632 and 6638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6632 and 6638 the smallest integer that is 22011608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6632 and 6638 is 22011608.

LCM(6632,6638) = 22011608

LCM of 6632 and 6638

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

LCM of:
and

Least Common Multiple of 6632 and 6638

LCM of 6632 and 6638 is 22011608

Least common multiple can be found by multiplying the highest exponent prime factors of 6632 and 6638. First we will calculate the prime factors of 6632 and 6638.

Prime Factorization of 6632


2 6632
2 3316
2 1658
829 829
1

Prime factors of 6632 are 2,829. Prime factorization of 6632 in exponential form is:

6632 = 23×8291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6632 and 6638.

LCM(6632,6638) = 23×8291×33191
LCM(6632,6638) = 22011608

Factors of 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1, 2, 4, 8, 829, 1658, 3316, 6632

Factors of 6638

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

1, 2, 3319, 6638

Least Common Multiple of 6632 and 6638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6632 and 6638, than apply into the LCM equation.

GCF(6632,6638) = 2
LCM(6632,6638) = ( 6632 × 6638) / 2
LCM(6632,6638) = 44023216 / 2
LCM(6632,6638) = 22011608

Properties of LCM 6632 and 6638

(i) The LCM of 6638 and 6632 is associative

LCM of 6632 and 6638 = LCM of 6638 and 6632

Related Least Common Multiples of 6632

Related Least Common Multiples of 6638

Frequently Asked Questions on LCM of 6632 and 6638

1. What is the LCM of 6632 and 6638?

Answer: LCM of 6632 and 6638 is 22011608.

2. What are the Factors of 6632?

Answer: Factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632. There are 8 integers that are factors of 6632. The greatest factor of 6632 is 6632.

3. 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.

4. How to Find the LCM of 6632 and 6638?

Answer:

Least Common Multiple of 6632 and 6638 = 22011608

Step 1: Find the prime factorization of 6632

6632 = 2 x 2 x 2 x 829

Step 2: Find the prime factorization of 6638

6638 = 2 x 3319

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

LCM = 22011608 = 2 x 2 x 2 x 829 x 3319

Step 4: Therefore, the least common multiple of 6632 and 6638 is 22011608.