Least Common Multiple of 27036 and 27041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 27036 and 27041 the smallest integer that is 731080476 that is divisible by both numbers.

Least Common Multiple (LCM) of 27036 and 27041 is 731080476.

LCM(27036,27041) = 731080476

LCM of 27036 and 27041

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

LCM of:
and

Least Common Multiple of 27036 and 27041

LCM of 27036 and 27041 is 731080476

Least common multiple can be found by multiplying the highest exponent prime factors of 27036 and 27041. First we will calculate the prime factors of 27036 and 27041.

Prime Factorization of 27036


2 27036
2 13518
3 6759
3 2253
751 751
1

Prime factors of 27036 are 2, 3,751. Prime factorization of 27036 in exponential form is:

27036 = 22×32×7511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 27036 and 27041.

LCM(27036,27041) = 22×32×71×7511×38631
LCM(27036,27041) = 731080476

Factors of 27036

List of positive integer factors of 27036 that divides 27036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012, 13518, 27036

Factors of 27041

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

1, 7, 3863, 27041

Least Common Multiple of 27036 and 27041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27036 and 27041, than apply into the LCM equation.

GCF(27036,27041) = 1
LCM(27036,27041) = ( 27036 × 27041) / 1
LCM(27036,27041) = 731080476 / 1
LCM(27036,27041) = 731080476

Properties of LCM 27036 and 27041

(i) The LCM of 27041 and 27036 is associative

LCM of 27036 and 27041 = LCM of 27041 and 27036

Related Least Common Multiples of 27036

Related Least Common Multiples of 27041

Frequently Asked Questions on LCM of 27036 and 27041

1. What is the LCM of 27036 and 27041?

Answer: LCM of 27036 and 27041 is 731080476.

2. What are the Factors of 27036?

Answer: Factors of 27036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012, 13518, 27036. There are 18 integers that are factors of 27036. The greatest factor of 27036 is 27036.

3. 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.

4. How to Find the LCM of 27036 and 27041?

Answer:

Least Common Multiple of 27036 and 27041 = 731080476

Step 1: Find the prime factorization of 27036

27036 = 2 x 2 x 3 x 3 x 751

Step 2: Find the prime factorization of 27041

27041 = 7 x 3863

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

LCM = 731080476 = 2 x 2 x 3 x 3 x 7 x 751 x 3863

Step 4: Therefore, the least common multiple of 27036 and 27041 is 731080476.