Least Common Multiple of 27044 and 27051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27044 and 27051 the smallest integer that is 731567244 that is divisible by both numbers.

Least Common Multiple (LCM) of 27044 and 27051 is 731567244.

LCM(27044,27051) = 731567244

LCM of 27044 and 27051

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

LCM of:
and

Least Common Multiple of 27044 and 27051

LCM of 27044 and 27051 is 731567244

Least common multiple can be found by multiplying the highest exponent prime factors of 27044 and 27051. First we will calculate the prime factors of 27044 and 27051.

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

Prime Factorization of 27051


3 27051
71 9017
127 127
1

Prime factors of 27051 are 3, 71,127. Prime factorization of 27051 in exponential form is:

27051 = 31×711×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 27044 and 27051.

LCM(27044,27051) = 22×31×711×1271×67611
LCM(27044,27051) = 731567244

Factors of 27044

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

1, 2, 4, 6761, 13522, 27044

Factors of 27051

List of positive integer factors of 27051 that divides 27051 without a remainder.

1, 3, 71, 127, 213, 381, 9017, 27051

Least Common Multiple of 27044 and 27051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27044 and 27051, than apply into the LCM equation.

GCF(27044,27051) = 1
LCM(27044,27051) = ( 27044 × 27051) / 1
LCM(27044,27051) = 731567244 / 1
LCM(27044,27051) = 731567244

Properties of LCM 27044 and 27051

(i) The LCM of 27051 and 27044 is associative

LCM of 27044 and 27051 = LCM of 27051 and 27044

Related Least Common Multiples of 27044

Related Least Common Multiples of 27051

Frequently Asked Questions on LCM of 27044 and 27051

1. What is the LCM of 27044 and 27051?

Answer: LCM of 27044 and 27051 is 731567244.

2. 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.

3. What are the Factors of 27051?

Answer: Factors of 27051 are 1, 3, 71, 127, 213, 381, 9017, 27051. There are 8 integers that are factors of 27051. The greatest factor of 27051 is 27051.

4. How to Find the LCM of 27044 and 27051?

Answer:

Least Common Multiple of 27044 and 27051 = 731567244

Step 1: Find the prime factorization of 27044

27044 = 2 x 2 x 6761

Step 2: Find the prime factorization of 27051

27051 = 3 x 71 x 127

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

LCM = 731567244 = 2 x 2 x 3 x 71 x 127 x 6761

Step 4: Therefore, the least common multiple of 27044 and 27051 is 731567244.