Least Common Multiple of 5046 and 5054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5046 and 5054 the smallest integer that is 12751242 that is divisible by both numbers.

Least Common Multiple (LCM) of 5046 and 5054 is 12751242.

LCM(5046,5054) = 12751242

LCM of 5046 and 5054

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

LCM of:
and

Least Common Multiple of 5046 and 5054

LCM of 5046 and 5054 is 12751242

Least common multiple can be found by multiplying the highest exponent prime factors of 5046 and 5054. First we will calculate the prime factors of 5046 and 5054.

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

Prime Factorization of 5054


2 5054
7 2527
19 361
19 19
1

Prime factors of 5054 are 2, 7,19. Prime factorization of 5054 in exponential form is:

5054 = 21×71×192

Now multiplying the highest exponent prime factors to calculate the LCM of 5046 and 5054.

LCM(5046,5054) = 21×31×71×192×292
LCM(5046,5054) = 12751242

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

Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054

Least Common Multiple of 5046 and 5054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5046 and 5054, than apply into the LCM equation.

GCF(5046,5054) = 2
LCM(5046,5054) = ( 5046 × 5054) / 2
LCM(5046,5054) = 25502484 / 2
LCM(5046,5054) = 12751242

Properties of LCM 5046 and 5054

(i) The LCM of 5054 and 5046 is associative

LCM of 5046 and 5054 = LCM of 5054 and 5046

Related Least Common Multiples of 5046

Related Least Common Multiples of 5054

Frequently Asked Questions on LCM of 5046 and 5054

1. What is the LCM of 5046 and 5054?

Answer: LCM of 5046 and 5054 is 12751242.

2. 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.

3. What are the Factors of 5054?

Answer: Factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054. There are 12 integers that are factors of 5054. The greatest factor of 5054 is 5054.

4. How to Find the LCM of 5046 and 5054?

Answer:

Least Common Multiple of 5046 and 5054 = 12751242

Step 1: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

Step 2: Find the prime factorization of 5054

5054 = 2 x 7 x 19 x 19

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

LCM = 12751242 = 2 x 3 x 7 x 19 x 19 x 29 x 29

Step 4: Therefore, the least common multiple of 5046 and 5054 is 12751242.