Least Common Multiple of 4041 and 4049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4041 and 4049 the smallest integer that is 16362009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4041 and 4049 is 16362009.

LCM(4041,4049) = 16362009

LCM of 4041 and 4049

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

LCM of:
and

Least Common Multiple of 4041 and 4049

LCM of 4041 and 4049 is 16362009

Least common multiple can be found by multiplying the highest exponent prime factors of 4041 and 4049. First we will calculate the prime factors of 4041 and 4049.

Prime Factorization of 4041


3 4041
3 1347
449 449
1

Prime factors of 4041 are 3,449. Prime factorization of 4041 in exponential form is:

4041 = 32×4491

Prime Factorization of 4049


4049 4049
1

Prime factors of 4049 are 4049. Prime factorization of 4049 in exponential form is:

4049 = 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 4041 and 4049.

LCM(4041,4049) = 32×4491×40491
LCM(4041,4049) = 16362009

Factors of 4041

List of positive integer factors of 4041 that divides 4041 without a remainder.

1, 3, 9, 449, 1347, 4041

Factors of 4049

List of positive integer factors of 4049 that divides 4049 without a remainder.

1, 4049

Least Common Multiple of 4041 and 4049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4041 and 4049, than apply into the LCM equation.

GCF(4041,4049) = 1
LCM(4041,4049) = ( 4041 × 4049) / 1
LCM(4041,4049) = 16362009 / 1
LCM(4041,4049) = 16362009

Properties of LCM 4041 and 4049

(i) The LCM of 4049 and 4041 is associative

LCM of 4041 and 4049 = LCM of 4049 and 4041

Related Least Common Multiples of 4041

Related Least Common Multiples of 4049

Frequently Asked Questions on LCM of 4041 and 4049

1. What is the LCM of 4041 and 4049?

Answer: LCM of 4041 and 4049 is 16362009.

2. What are the Factors of 4041?

Answer: Factors of 4041 are 1, 3, 9, 449, 1347, 4041. There are 6 integers that are factors of 4041. The greatest factor of 4041 is 4041.

3. What are the Factors of 4049?

Answer: Factors of 4049 are 1, 4049. There are 2 integers that are factors of 4049. The greatest factor of 4049 is 4049.

4. How to Find the LCM of 4041 and 4049?

Answer:

Least Common Multiple of 4041 and 4049 = 16362009

Step 1: Find the prime factorization of 4041

4041 = 3 x 3 x 449

Step 2: Find the prime factorization of 4049

4049 = 4049

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

LCM = 16362009 = 3 x 3 x 449 x 4049

Step 4: Therefore, the least common multiple of 4041 and 4049 is 16362009.