Least Common Multiple of 27041 and 27045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27041 and 27045 the smallest integer that is 731323845 that is divisible by both numbers.

Least Common Multiple (LCM) of 27041 and 27045 is 731323845.

LCM(27041,27045) = 731323845

LCM of 27041 and 27045

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

LCM of:
and

Least Common Multiple of 27041 and 27045

LCM of 27041 and 27045 is 731323845

Least common multiple can be found by multiplying the highest exponent prime factors of 27041 and 27045. First we will calculate the prime factors of 27041 and 27045.

Prime Factorization of 27041


7 27041
3863 3863
1

Prime factors of 27041 are 7,3863. Prime factorization of 27041 in exponential form is:

27041 = 71×38631

Prime Factorization of 27045


3 27045
3 9015
5 3005
601 601
1

Prime factors of 27045 are 3, 5,601. Prime factorization of 27045 in exponential form is:

27045 = 32×51×6011

Now multiplying the highest exponent prime factors to calculate the LCM of 27041 and 27045.

LCM(27041,27045) = 32×51×71×6011×38631
LCM(27041,27045) = 731323845

Factors of 27041

List of positive integer factors of 27041 that divides 27041 without a remainder.

1, 7, 3863, 27041

Factors of 27045

List of positive integer factors of 27045 that divides 27045 without a remainder.

1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015, 27045

Least Common Multiple of 27041 and 27045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27041 and 27045, than apply into the LCM equation.

GCF(27041,27045) = 1
LCM(27041,27045) = ( 27041 × 27045) / 1
LCM(27041,27045) = 731323845 / 1
LCM(27041,27045) = 731323845

Properties of LCM 27041 and 27045

(i) The LCM of 27045 and 27041 is associative

LCM of 27041 and 27045 = LCM of 27045 and 27041

Related Least Common Multiples of 27041

Related Least Common Multiples of 27045

Frequently Asked Questions on LCM of 27041 and 27045

1. What is the LCM of 27041 and 27045?

Answer: LCM of 27041 and 27045 is 731323845.

2. What are the Factors of 27041?

Answer: Factors of 27041 are 1, 7, 3863, 27041. There are 4 integers that are factors of 27041. The greatest factor of 27041 is 27041.

3. What are the Factors of 27045?

Answer: Factors of 27045 are 1, 3, 5, 9, 15, 45, 601, 1803, 3005, 5409, 9015, 27045. There are 12 integers that are factors of 27045. The greatest factor of 27045 is 27045.

4. How to Find the LCM of 27041 and 27045?

Answer:

Least Common Multiple of 27041 and 27045 = 731323845

Step 1: Find the prime factorization of 27041

27041 = 7 x 3863

Step 2: Find the prime factorization of 27045

27045 = 3 x 3 x 5 x 601

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

LCM = 731323845 = 3 x 3 x 5 x 7 x 601 x 3863

Step 4: Therefore, the least common multiple of 27041 and 27045 is 731323845.