Least Common Multiple of 13068 and 13074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13068 and 13074 the smallest integer that is 28475172 that is divisible by both numbers.

Least Common Multiple (LCM) of 13068 and 13074 is 28475172.

LCM(13068,13074) = 28475172

LCM of 13068 and 13074

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

LCM of:
and

Least Common Multiple of 13068 and 13074

LCM of 13068 and 13074 is 28475172

Least common multiple can be found by multiplying the highest exponent prime factors of 13068 and 13074. First we will calculate the prime factors of 13068 and 13074.

Prime Factorization of 13068


2 13068
2 6534
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 13068 are 2, 3,11. Prime factorization of 13068 in exponential form is:

13068 = 22×33×112

Prime Factorization of 13074


2 13074
3 6537
2179 2179
1

Prime factors of 13074 are 2, 3,2179. Prime factorization of 13074 in exponential form is:

13074 = 21×31×21791

Now multiplying the highest exponent prime factors to calculate the LCM of 13068 and 13074.

LCM(13068,13074) = 22×33×112×21791
LCM(13068,13074) = 28475172

Factors of 13068

List of positive integer factors of 13068 that divides 13068 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 121, 132, 198, 242, 297, 363, 396, 484, 594, 726, 1089, 1188, 1452, 2178, 3267, 4356, 6534, 13068

Factors of 13074

List of positive integer factors of 13074 that divides 13074 without a remainder.

1, 2, 3, 6, 2179, 4358, 6537, 13074

Least Common Multiple of 13068 and 13074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13068 and 13074, than apply into the LCM equation.

GCF(13068,13074) = 6
LCM(13068,13074) = ( 13068 × 13074) / 6
LCM(13068,13074) = 170851032 / 6
LCM(13068,13074) = 28475172

Properties of LCM 13068 and 13074

(i) The LCM of 13074 and 13068 is associative

LCM of 13068 and 13074 = LCM of 13074 and 13068

Related Least Common Multiples of 13068

Related Least Common Multiples of 13074

Frequently Asked Questions on LCM of 13068 and 13074

1. What is the LCM of 13068 and 13074?

Answer: LCM of 13068 and 13074 is 28475172.

2. What are the Factors of 13068?

Answer: Factors of 13068 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 121, 132, 198, 242, 297, 363, 396, 484, 594, 726, 1089, 1188, 1452, 2178, 3267, 4356, 6534, 13068. There are 36 integers that are factors of 13068. The greatest factor of 13068 is 13068.

3. What are the Factors of 13074?

Answer: Factors of 13074 are 1, 2, 3, 6, 2179, 4358, 6537, 13074. There are 8 integers that are factors of 13074. The greatest factor of 13074 is 13074.

4. How to Find the LCM of 13068 and 13074?

Answer:

Least Common Multiple of 13068 and 13074 = 28475172

Step 1: Find the prime factorization of 13068

13068 = 2 x 2 x 3 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 13074

13074 = 2 x 3 x 2179

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

LCM = 28475172 = 2 x 2 x 3 x 3 x 3 x 11 x 11 x 2179

Step 4: Therefore, the least common multiple of 13068 and 13074 is 28475172.