Least Common Multiple of 6322 and 6330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6322 and 6330 the smallest integer that is 20009130 that is divisible by both numbers.

Least Common Multiple (LCM) of 6322 and 6330 is 20009130.

LCM(6322,6330) = 20009130

LCM of 6322 and 6330

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

LCM of:
and

Least Common Multiple of 6322 and 6330

LCM of 6322 and 6330 is 20009130

Least common multiple can be found by multiplying the highest exponent prime factors of 6322 and 6330. First we will calculate the prime factors of 6322 and 6330.

Prime Factorization of 6322


2 6322
29 3161
109 109
1

Prime factors of 6322 are 2, 29,109. Prime factorization of 6322 in exponential form is:

6322 = 21×291×1091

Prime Factorization of 6330


2 6330
3 3165
5 1055
211 211
1

Prime factors of 6330 are 2, 3, 5,211. Prime factorization of 6330 in exponential form is:

6330 = 21×31×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 6322 and 6330.

LCM(6322,6330) = 21×31×51×291×1091×2111
LCM(6322,6330) = 20009130

Factors of 6322

List of positive integer factors of 6322 that divides 6322 without a remainder.

1, 2, 29, 58, 109, 218, 3161, 6322

Factors of 6330

List of positive integer factors of 6330 that divides 6330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330

Least Common Multiple of 6322 and 6330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6322 and 6330, than apply into the LCM equation.

GCF(6322,6330) = 2
LCM(6322,6330) = ( 6322 × 6330) / 2
LCM(6322,6330) = 40018260 / 2
LCM(6322,6330) = 20009130

Properties of LCM 6322 and 6330

(i) The LCM of 6330 and 6322 is associative

LCM of 6322 and 6330 = LCM of 6330 and 6322

Related Least Common Multiples of 6322

Related Least Common Multiples of 6330

Frequently Asked Questions on LCM of 6322 and 6330

1. What is the LCM of 6322 and 6330?

Answer: LCM of 6322 and 6330 is 20009130.

2. What are the Factors of 6322?

Answer: Factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322. There are 8 integers that are factors of 6322. The greatest factor of 6322 is 6322.

3. What are the Factors of 6330?

Answer: Factors of 6330 are 1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330. There are 16 integers that are factors of 6330. The greatest factor of 6330 is 6330.

4. How to Find the LCM of 6322 and 6330?

Answer:

Least Common Multiple of 6322 and 6330 = 20009130

Step 1: Find the prime factorization of 6322

6322 = 2 x 29 x 109

Step 2: Find the prime factorization of 6330

6330 = 2 x 3 x 5 x 211

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

LCM = 20009130 = 2 x 3 x 5 x 29 x 109 x 211

Step 4: Therefore, the least common multiple of 6322 and 6330 is 20009130.