Least Common Multiple of 5065 and 5073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5065 and 5073 the smallest integer that is 25694745 that is divisible by both numbers.

Least Common Multiple (LCM) of 5065 and 5073 is 25694745.

LCM(5065,5073) = 25694745

LCM of 5065 and 5073

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

LCM of:
and

Least Common Multiple of 5065 and 5073

LCM of 5065 and 5073 is 25694745

Least common multiple can be found by multiplying the highest exponent prime factors of 5065 and 5073. First we will calculate the prime factors of 5065 and 5073.

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

Prime Factorization of 5073


3 5073
19 1691
89 89
1

Prime factors of 5073 are 3, 19,89. Prime factorization of 5073 in exponential form is:

5073 = 31×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5065 and 5073.

LCM(5065,5073) = 31×51×191×891×10131
LCM(5065,5073) = 25694745

Factors of 5065

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

1, 5, 1013, 5065

Factors of 5073

List of positive integer factors of 5073 that divides 5073 without a remainder.

1, 3, 19, 57, 89, 267, 1691, 5073

Least Common Multiple of 5065 and 5073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5065 and 5073, than apply into the LCM equation.

GCF(5065,5073) = 1
LCM(5065,5073) = ( 5065 × 5073) / 1
LCM(5065,5073) = 25694745 / 1
LCM(5065,5073) = 25694745

Properties of LCM 5065 and 5073

(i) The LCM of 5073 and 5065 is associative

LCM of 5065 and 5073 = LCM of 5073 and 5065

Related Least Common Multiples of 5065

Related Least Common Multiples of 5073

Frequently Asked Questions on LCM of 5065 and 5073

1. What is the LCM of 5065 and 5073?

Answer: LCM of 5065 and 5073 is 25694745.

2. 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.

3. What are the Factors of 5073?

Answer: Factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073. There are 8 integers that are factors of 5073. The greatest factor of 5073 is 5073.

4. How to Find the LCM of 5065 and 5073?

Answer:

Least Common Multiple of 5065 and 5073 = 25694745

Step 1: Find the prime factorization of 5065

5065 = 5 x 1013

Step 2: Find the prime factorization of 5073

5073 = 3 x 19 x 89

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

LCM = 25694745 = 3 x 5 x 19 x 89 x 1013

Step 4: Therefore, the least common multiple of 5065 and 5073 is 25694745.