Least Common Multiple of 5057 and 5065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5057 and 5065 the smallest integer that is 25613705 that is divisible by both numbers.

Least Common Multiple (LCM) of 5057 and 5065 is 25613705.

LCM(5057,5065) = 25613705

LCM of 5057 and 5065

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

LCM of:
and

Least Common Multiple of 5057 and 5065

LCM of 5057 and 5065 is 25613705

Least common multiple can be found by multiplying the highest exponent prime factors of 5057 and 5065. First we will calculate the prime factors of 5057 and 5065.

Prime Factorization of 5057


13 5057
389 389
1

Prime factors of 5057 are 13,389. Prime factorization of 5057 in exponential form is:

5057 = 131×3891

Prime Factorization of 5065


5 5065
1013 1013
1

Prime factors of 5065 are 5,1013. Prime factorization of 5065 in exponential form is:

5065 = 51×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 5057 and 5065.

LCM(5057,5065) = 51×131×3891×10131
LCM(5057,5065) = 25613705

Factors of 5057

List of positive integer factors of 5057 that divides 5057 without a remainder.

1, 13, 389, 5057

Factors of 5065

List of positive integer factors of 5065 that divides 5065 without a remainder.

1, 5, 1013, 5065

Least Common Multiple of 5057 and 5065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5057 and 5065, than apply into the LCM equation.

GCF(5057,5065) = 1
LCM(5057,5065) = ( 5057 × 5065) / 1
LCM(5057,5065) = 25613705 / 1
LCM(5057,5065) = 25613705

Properties of LCM 5057 and 5065

(i) The LCM of 5065 and 5057 is associative

LCM of 5057 and 5065 = LCM of 5065 and 5057

Related Least Common Multiples of 5057

Related Least Common Multiples of 5065

Frequently Asked Questions on LCM of 5057 and 5065

1. What is the LCM of 5057 and 5065?

Answer: LCM of 5057 and 5065 is 25613705.

2. What are the Factors of 5057?

Answer: Factors of 5057 are 1, 13, 389, 5057. There are 4 integers that are factors of 5057. The greatest factor of 5057 is 5057.

3. What are the Factors of 5065?

Answer: Factors of 5065 are 1, 5, 1013, 5065. There are 4 integers that are factors of 5065. The greatest factor of 5065 is 5065.

4. How to Find the LCM of 5057 and 5065?

Answer:

Least Common Multiple of 5057 and 5065 = 25613705

Step 1: Find the prime factorization of 5057

5057 = 13 x 389

Step 2: Find the prime factorization of 5065

5065 = 5 x 1013

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

LCM = 25613705 = 5 x 13 x 389 x 1013

Step 4: Therefore, the least common multiple of 5057 and 5065 is 25613705.