Least Common Multiple of 5041 and 5046

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 5046 the smallest integer that is 25436886 that is divisible by both numbers.

Least Common Multiple (LCM) of 5041 and 5046 is 25436886.

LCM(5041,5046) = 25436886

LCM of 5041 and 5046

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

LCM of:
and

Least Common Multiple of 5041 and 5046

LCM of 5041 and 5046 is 25436886

Least common multiple can be found by multiplying the highest exponent prime factors of 5041 and 5046. First we will calculate the prime factors of 5041 and 5046.

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 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2, 3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

Now multiplying the highest exponent prime factors to calculate the LCM of 5041 and 5046.

LCM(5041,5046) = 21×31×292×712
LCM(5041,5046) = 25436886

Factors of 5041

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

1, 71, 5041

Factors of 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

Least Common Multiple of 5041 and 5046 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 5046, than apply into the LCM equation.

GCF(5041,5046) = 1
LCM(5041,5046) = ( 5041 × 5046) / 1
LCM(5041,5046) = 25436886 / 1
LCM(5041,5046) = 25436886

Properties of LCM 5041 and 5046

(i) The LCM of 5046 and 5041 is associative

LCM of 5041 and 5046 = LCM of 5046 and 5041

Related Least Common Multiples of 5041

Related Least Common Multiples of 5046

Frequently Asked Questions on LCM of 5041 and 5046

1. What is the LCM of 5041 and 5046?

Answer: LCM of 5041 and 5046 is 25436886.

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 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

4. How to Find the LCM of 5041 and 5046?

Answer:

Least Common Multiple of 5041 and 5046 = 25436886

Step 1: Find the prime factorization of 5041

5041 = 71 x 71

Step 2: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

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

LCM = 25436886 = 2 x 3 x 29 x 29 x 71 x 71

Step 4: Therefore, the least common multiple of 5041 and 5046 is 25436886.