Least Common Multiple of 5142 and 5149

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 5149 the smallest integer that is 26476158 that is divisible by both numbers.

Least Common Multiple (LCM) of 5142 and 5149 is 26476158.

LCM(5142,5149) = 26476158

LCM of 5142 and 5149

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

LCM of:
and

Least Common Multiple of 5142 and 5149

LCM of 5142 and 5149 is 26476158

Least common multiple can be found by multiplying the highest exponent prime factors of 5142 and 5149. First we will calculate the prime factors of 5142 and 5149.

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 5149


19 5149
271 271
1

Prime factors of 5149 are 19,271. Prime factorization of 5149 in exponential form is:

5149 = 191×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 5142 and 5149.

LCM(5142,5149) = 21×31×191×2711×8571
LCM(5142,5149) = 26476158

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 5149

List of positive integer factors of 5149 that divides 5149 without a remainder.

1, 19, 271, 5149

Least Common Multiple of 5142 and 5149 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 5149, than apply into the LCM equation.

GCF(5142,5149) = 1
LCM(5142,5149) = ( 5142 × 5149) / 1
LCM(5142,5149) = 26476158 / 1
LCM(5142,5149) = 26476158

Properties of LCM 5142 and 5149

(i) The LCM of 5149 and 5142 is associative

LCM of 5142 and 5149 = LCM of 5149 and 5142

Related Least Common Multiples of 5142

Related Least Common Multiples of 5149

Frequently Asked Questions on LCM of 5142 and 5149

1. What is the LCM of 5142 and 5149?

Answer: LCM of 5142 and 5149 is 26476158.

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 5149?

Answer: Factors of 5149 are 1, 19, 271, 5149. There are 4 integers that are factors of 5149. The greatest factor of 5149 is 5149.

4. How to Find the LCM of 5142 and 5149?

Answer:

Least Common Multiple of 5142 and 5149 = 26476158

Step 1: Find the prime factorization of 5142

5142 = 2 x 3 x 857

Step 2: Find the prime factorization of 5149

5149 = 19 x 271

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

LCM = 26476158 = 2 x 3 x 19 x 271 x 857

Step 4: Therefore, the least common multiple of 5142 and 5149 is 26476158.