Least Common Multiple of 6630 and 6634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6630 and 6634 the smallest integer that is 21991710 that is divisible by both numbers.

Least Common Multiple (LCM) of 6630 and 6634 is 21991710.

LCM(6630,6634) = 21991710

LCM of 6630 and 6634

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

LCM of:
and

Least Common Multiple of 6630 and 6634

LCM of 6630 and 6634 is 21991710

Least common multiple can be found by multiplying the highest exponent prime factors of 6630 and 6634. First we will calculate the prime factors of 6630 and 6634.

Prime Factorization of 6630


2 6630
3 3315
5 1105
13 221
17 17
1

Prime factors of 6630 are 2, 3, 5, 13,17. Prime factorization of 6630 in exponential form is:

6630 = 21×31×51×131×171

Prime Factorization of 6634


2 6634
31 3317
107 107
1

Prime factors of 6634 are 2, 31,107. Prime factorization of 6634 in exponential form is:

6634 = 21×311×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6630 and 6634.

LCM(6630,6634) = 21×31×51×131×171×311×1071
LCM(6630,6634) = 21991710

Factors of 6630

List of positive integer factors of 6630 that divides 6630 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630

Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1, 2, 31, 62, 107, 214, 3317, 6634

Least Common Multiple of 6630 and 6634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6630 and 6634, than apply into the LCM equation.

GCF(6630,6634) = 2
LCM(6630,6634) = ( 6630 × 6634) / 2
LCM(6630,6634) = 43983420 / 2
LCM(6630,6634) = 21991710

Properties of LCM 6630 and 6634

(i) The LCM of 6634 and 6630 is associative

LCM of 6630 and 6634 = LCM of 6634 and 6630

Related Least Common Multiples of 6630

Related Least Common Multiples of 6634

Frequently Asked Questions on LCM of 6630 and 6634

1. What is the LCM of 6630 and 6634?

Answer: LCM of 6630 and 6634 is 21991710.

2. What are the Factors of 6630?

Answer: Factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630. There are 32 integers that are factors of 6630. The greatest factor of 6630 is 6630.

3. What are the Factors of 6634?

Answer: Factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634. There are 8 integers that are factors of 6634. The greatest factor of 6634 is 6634.

4. How to Find the LCM of 6630 and 6634?

Answer:

Least Common Multiple of 6630 and 6634 = 21991710

Step 1: Find the prime factorization of 6630

6630 = 2 x 3 x 5 x 13 x 17

Step 2: Find the prime factorization of 6634

6634 = 2 x 31 x 107

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

LCM = 21991710 = 2 x 3 x 5 x 13 x 17 x 31 x 107

Step 4: Therefore, the least common multiple of 6630 and 6634 is 21991710.