Least Common Multiple of 5137 and 5142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5137 and 5142 the smallest integer that is 26414454 that is divisible by both numbers.

Least Common Multiple (LCM) of 5137 and 5142 is 26414454.

LCM(5137,5142) = 26414454

LCM of 5137 and 5142

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

LCM of:
and

Least Common Multiple of 5137 and 5142

LCM of 5137 and 5142 is 26414454

Least common multiple can be found by multiplying the highest exponent prime factors of 5137 and 5142. First we will calculate the prime factors of 5137 and 5142.

Prime Factorization of 5137


11 5137
467 467
1

Prime factors of 5137 are 11,467. Prime factorization of 5137 in exponential form is:

5137 = 111×4671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5137 and 5142.

LCM(5137,5142) = 21×31×111×4671×8571
LCM(5137,5142) = 26414454

Factors of 5137

List of positive integer factors of 5137 that divides 5137 without a remainder.

1, 11, 467, 5137

Factors of 5142

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

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

Least Common Multiple of 5137 and 5142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5137 and 5142, than apply into the LCM equation.

GCF(5137,5142) = 1
LCM(5137,5142) = ( 5137 × 5142) / 1
LCM(5137,5142) = 26414454 / 1
LCM(5137,5142) = 26414454

Properties of LCM 5137 and 5142

(i) The LCM of 5142 and 5137 is associative

LCM of 5137 and 5142 = LCM of 5142 and 5137

Related Least Common Multiples of 5137

Related Least Common Multiples of 5142

Frequently Asked Questions on LCM of 5137 and 5142

1. What is the LCM of 5137 and 5142?

Answer: LCM of 5137 and 5142 is 26414454.

2. What are the Factors of 5137?

Answer: Factors of 5137 are 1, 11, 467, 5137. There are 4 integers that are factors of 5137. The greatest factor of 5137 is 5137.

3. 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.

4. How to Find the LCM of 5137 and 5142?

Answer:

Least Common Multiple of 5137 and 5142 = 26414454

Step 1: Find the prime factorization of 5137

5137 = 11 x 467

Step 2: Find the prime factorization of 5142

5142 = 2 x 3 x 857

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

LCM = 26414454 = 2 x 3 x 11 x 467 x 857

Step 4: Therefore, the least common multiple of 5137 and 5142 is 26414454.