Least Common Multiple of 27040 and 27044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27040 and 27044 the smallest integer that is 182817440 that is divisible by both numbers.

Least Common Multiple (LCM) of 27040 and 27044 is 182817440.

LCM(27040,27044) = 182817440

LCM of 27040 and 27044

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

LCM of:
and

Least Common Multiple of 27040 and 27044

LCM of 27040 and 27044 is 182817440

Least common multiple can be found by multiplying the highest exponent prime factors of 27040 and 27044. First we will calculate the prime factors of 27040 and 27044.

Prime Factorization of 27040


2 27040
2 13520
2 6760
2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 27040 are 2, 5,13. Prime factorization of 27040 in exponential form is:

27040 = 25×51×132

Prime Factorization of 27044


2 27044
2 13522
6761 6761
1

Prime factors of 27044 are 2,6761. Prime factorization of 27044 in exponential form is:

27044 = 22×67611

Now multiplying the highest exponent prime factors to calculate the LCM of 27040 and 27044.

LCM(27040,27044) = 25×51×132×67611
LCM(27040,27044) = 182817440

Factors of 27040

List of positive integer factors of 27040 that divides 27040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520, 27040

Factors of 27044

List of positive integer factors of 27044 that divides 27044 without a remainder.

1, 2, 4, 6761, 13522, 27044

Least Common Multiple of 27040 and 27044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27040 and 27044, than apply into the LCM equation.

GCF(27040,27044) = 4
LCM(27040,27044) = ( 27040 × 27044) / 4
LCM(27040,27044) = 731269760 / 4
LCM(27040,27044) = 182817440

Properties of LCM 27040 and 27044

(i) The LCM of 27044 and 27040 is associative

LCM of 27040 and 27044 = LCM of 27044 and 27040

Related Least Common Multiples of 27040

Related Least Common Multiples of 27044

Frequently Asked Questions on LCM of 27040 and 27044

1. What is the LCM of 27040 and 27044?

Answer: LCM of 27040 and 27044 is 182817440.

2. What are the Factors of 27040?

Answer: Factors of 27040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 169, 208, 260, 338, 416, 520, 676, 845, 1040, 1352, 1690, 2080, 2704, 3380, 5408, 6760, 13520, 27040. There are 36 integers that are factors of 27040. The greatest factor of 27040 is 27040.

3. What are the Factors of 27044?

Answer: Factors of 27044 are 1, 2, 4, 6761, 13522, 27044. There are 6 integers that are factors of 27044. The greatest factor of 27044 is 27044.

4. How to Find the LCM of 27040 and 27044?

Answer:

Least Common Multiple of 27040 and 27044 = 182817440

Step 1: Find the prime factorization of 27040

27040 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 27044

27044 = 2 x 2 x 6761

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

LCM = 182817440 = 2 x 2 x 2 x 2 x 2 x 5 x 13 x 13 x 6761

Step 4: Therefore, the least common multiple of 27040 and 27044 is 182817440.