Least Common Multiple of 5142 and 5144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5142 and 5144 the smallest integer that is 13225224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5142 and 5144 is 13225224.

LCM(5142,5144) = 13225224

LCM of 5142 and 5144

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

LCM of:
and

Least Common Multiple of 5142 and 5144

LCM of 5142 and 5144 is 13225224

Least common multiple can be found by multiplying the highest exponent prime factors of 5142 and 5144. First we will calculate the prime factors of 5142 and 5144.

Prime Factorization of 5142


2 5142
3 2571
857 857
1

Prime factors of 5142 are 2, 3,857. Prime factorization of 5142 in exponential form is:

5142 = 21×31×8571

Prime Factorization of 5144


2 5144
2 2572
2 1286
643 643
1

Prime factors of 5144 are 2,643. Prime factorization of 5144 in exponential form is:

5144 = 23×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 5142 and 5144.

LCM(5142,5144) = 23×31×6431×8571
LCM(5142,5144) = 13225224

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1, 2, 3, 6, 857, 1714, 2571, 5142

Factors of 5144

List of positive integer factors of 5144 that divides 5144 without a remainder.

1, 2, 4, 8, 643, 1286, 2572, 5144

Least Common Multiple of 5142 and 5144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5142 and 5144, than apply into the LCM equation.

GCF(5142,5144) = 2
LCM(5142,5144) = ( 5142 × 5144) / 2
LCM(5142,5144) = 26450448 / 2
LCM(5142,5144) = 13225224

Properties of LCM 5142 and 5144

(i) The LCM of 5144 and 5142 is associative

LCM of 5142 and 5144 = LCM of 5144 and 5142

Related Least Common Multiples of 5142

Related Least Common Multiples of 5144

Frequently Asked Questions on LCM of 5142 and 5144

1. What is the LCM of 5142 and 5144?

Answer: LCM of 5142 and 5144 is 13225224.

2. What are the Factors of 5142?

Answer: Factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142. There are 8 integers that are factors of 5142. The greatest factor of 5142 is 5142.

3. What are the Factors of 5144?

Answer: Factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144. There are 8 integers that are factors of 5144. The greatest factor of 5144 is 5144.

4. How to Find the LCM of 5142 and 5144?

Answer:

Least Common Multiple of 5142 and 5144 = 13225224

Step 1: Find the prime factorization of 5142

5142 = 2 x 3 x 857

Step 2: Find the prime factorization of 5144

5144 = 2 x 2 x 2 x 643

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

LCM = 13225224 = 2 x 2 x 2 x 3 x 643 x 857

Step 4: Therefore, the least common multiple of 5142 and 5144 is 13225224.