Least Common Multiple of 5037 and 5042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5037 and 5042 the smallest integer that is 25396554 that is divisible by both numbers.

Least Common Multiple (LCM) of 5037 and 5042 is 25396554.

LCM(5037,5042) = 25396554

LCM of 5037 and 5042

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

LCM of:
and

Least Common Multiple of 5037 and 5042

LCM of 5037 and 5042 is 25396554

Least common multiple can be found by multiplying the highest exponent prime factors of 5037 and 5042. First we will calculate the prime factors of 5037 and 5042.

Prime Factorization of 5037


3 5037
23 1679
73 73
1

Prime factors of 5037 are 3, 23,73. Prime factorization of 5037 in exponential form is:

5037 = 31×231×731

Prime Factorization of 5042


2 5042
2521 2521
1

Prime factors of 5042 are 2,2521. Prime factorization of 5042 in exponential form is:

5042 = 21×25211

Now multiplying the highest exponent prime factors to calculate the LCM of 5037 and 5042.

LCM(5037,5042) = 21×31×231×731×25211
LCM(5037,5042) = 25396554

Factors of 5037

List of positive integer factors of 5037 that divides 5037 without a remainder.

1, 3, 23, 69, 73, 219, 1679, 5037

Factors of 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1, 2, 2521, 5042

Least Common Multiple of 5037 and 5042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5037 and 5042, than apply into the LCM equation.

GCF(5037,5042) = 1
LCM(5037,5042) = ( 5037 × 5042) / 1
LCM(5037,5042) = 25396554 / 1
LCM(5037,5042) = 25396554

Properties of LCM 5037 and 5042

(i) The LCM of 5042 and 5037 is associative

LCM of 5037 and 5042 = LCM of 5042 and 5037

Related Least Common Multiples of 5037

Related Least Common Multiples of 5042

Frequently Asked Questions on LCM of 5037 and 5042

1. What is the LCM of 5037 and 5042?

Answer: LCM of 5037 and 5042 is 25396554.

2. What are the Factors of 5037?

Answer: Factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037. There are 8 integers that are factors of 5037. The greatest factor of 5037 is 5037.

3. What are the Factors of 5042?

Answer: Factors of 5042 are 1, 2, 2521, 5042. There are 4 integers that are factors of 5042. The greatest factor of 5042 is 5042.

4. How to Find the LCM of 5037 and 5042?

Answer:

Least Common Multiple of 5037 and 5042 = 25396554

Step 1: Find the prime factorization of 5037

5037 = 3 x 23 x 73

Step 2: Find the prime factorization of 5042

5042 = 2 x 2521

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

LCM = 25396554 = 2 x 3 x 23 x 73 x 2521

Step 4: Therefore, the least common multiple of 5037 and 5042 is 25396554.