Least Common Multiple of 5059 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 5059 and 5065 the smallest integer that is 25623835 that is divisible by both numbers.

Least Common Multiple (LCM) of 5059 and 5065 is 25623835.

LCM(5059,5065) = 25623835

LCM of 5059 and 5065

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

LCM of:
and

Least Common Multiple of 5059 and 5065

LCM of 5059 and 5065 is 25623835

Least common multiple can be found by multiplying the highest exponent prime factors of 5059 and 5065. First we will calculate the prime factors of 5059 and 5065.

Prime Factorization of 5059


5059 5059
1

Prime factors of 5059 are 5059. Prime factorization of 5059 in exponential form is:

5059 = 50591

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 5059 and 5065.

LCM(5059,5065) = 51×10131×50591
LCM(5059,5065) = 25623835

Factors of 5059

List of positive integer factors of 5059 that divides 5059 without a remainder.

1, 5059

Factors of 5065

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

1, 5, 1013, 5065

Least Common Multiple of 5059 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 5059 and 5065, than apply into the LCM equation.

GCF(5059,5065) = 1
LCM(5059,5065) = ( 5059 × 5065) / 1
LCM(5059,5065) = 25623835 / 1
LCM(5059,5065) = 25623835

Properties of LCM 5059 and 5065

(i) The LCM of 5065 and 5059 is associative

LCM of 5059 and 5065 = LCM of 5065 and 5059

Related Least Common Multiples of 5059

Related Least Common Multiples of 5065

Frequently Asked Questions on LCM of 5059 and 5065

1. What is the LCM of 5059 and 5065?

Answer: LCM of 5059 and 5065 is 25623835.

2. What are the Factors of 5059?

Answer: Factors of 5059 are 1, 5059. There are 2 integers that are factors of 5059. The greatest factor of 5059 is 5059.

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 5059 and 5065?

Answer:

Least Common Multiple of 5059 and 5065 = 25623835

Step 1: Find the prime factorization of 5059

5059 = 5059

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 = 25623835 = 5 x 1013 x 5059

Step 4: Therefore, the least common multiple of 5059 and 5065 is 25623835.