Least Common Multiple of 5041 and 5049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5041 and 5049 the smallest integer that is 25452009 that is divisible by both numbers.

Least Common Multiple (LCM) of 5041 and 5049 is 25452009.

LCM(5041,5049) = 25452009

LCM of 5041 and 5049

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

LCM of:
and

Least Common Multiple of 5041 and 5049

LCM of 5041 and 5049 is 25452009

Least common multiple can be found by multiplying the highest exponent prime factors of 5041 and 5049. First we will calculate the prime factors of 5041 and 5049.

Prime Factorization of 5041


71 5041
71 71
1

Prime factors of 5041 are 71. Prime factorization of 5041 in exponential form is:

5041 = 712

Prime Factorization of 5049


3 5049
3 1683
3 561
11 187
17 17
1

Prime factors of 5049 are 3, 11,17. Prime factorization of 5049 in exponential form is:

5049 = 33×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5041 and 5049.

LCM(5041,5049) = 33×111×171×712
LCM(5041,5049) = 25452009

Factors of 5041

List of positive integer factors of 5041 that divides 5041 without a remainder.

1, 71, 5041

Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049

Least Common Multiple of 5041 and 5049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5041 and 5049, than apply into the LCM equation.

GCF(5041,5049) = 1
LCM(5041,5049) = ( 5041 × 5049) / 1
LCM(5041,5049) = 25452009 / 1
LCM(5041,5049) = 25452009

Properties of LCM 5041 and 5049

(i) The LCM of 5049 and 5041 is associative

LCM of 5041 and 5049 = LCM of 5049 and 5041

Related Least Common Multiples of 5041

Related Least Common Multiples of 5049

Frequently Asked Questions on LCM of 5041 and 5049

1. What is the LCM of 5041 and 5049?

Answer: LCM of 5041 and 5049 is 25452009.

2. What are the Factors of 5041?

Answer: Factors of 5041 are 1, 71, 5041. There are 3 integers that are factors of 5041. The greatest factor of 5041 is 5041.

3. What are the Factors of 5049?

Answer: Factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049. There are 16 integers that are factors of 5049. The greatest factor of 5049 is 5049.

4. How to Find the LCM of 5041 and 5049?

Answer:

Least Common Multiple of 5041 and 5049 = 25452009

Step 1: Find the prime factorization of 5041

5041 = 71 x 71

Step 2: Find the prime factorization of 5049

5049 = 3 x 3 x 3 x 11 x 17

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

LCM = 25452009 = 3 x 3 x 3 x 11 x 17 x 71 x 71

Step 4: Therefore, the least common multiple of 5041 and 5049 is 25452009.