Least Common Multiple of 5052 and 5059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5052 and 5059 the smallest integer that is 25558068 that is divisible by both numbers.

Least Common Multiple (LCM) of 5052 and 5059 is 25558068.

LCM(5052,5059) = 25558068

LCM of 5052 and 5059

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

LCM of:
and

Least Common Multiple of 5052 and 5059

LCM of 5052 and 5059 is 25558068

Least common multiple can be found by multiplying the highest exponent prime factors of 5052 and 5059. First we will calculate the prime factors of 5052 and 5059.

Prime Factorization of 5052


2 5052
2 2526
3 1263
421 421
1

Prime factors of 5052 are 2, 3,421. Prime factorization of 5052 in exponential form is:

5052 = 22×31×4211

Prime Factorization of 5059


5059 5059
1

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

5059 = 50591

Now multiplying the highest exponent prime factors to calculate the LCM of 5052 and 5059.

LCM(5052,5059) = 22×31×4211×50591
LCM(5052,5059) = 25558068

Factors of 5052

List of positive integer factors of 5052 that divides 5052 without a remainder.

1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052

Factors of 5059

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

1, 5059

Least Common Multiple of 5052 and 5059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5052 and 5059, than apply into the LCM equation.

GCF(5052,5059) = 1
LCM(5052,5059) = ( 5052 × 5059) / 1
LCM(5052,5059) = 25558068 / 1
LCM(5052,5059) = 25558068

Properties of LCM 5052 and 5059

(i) The LCM of 5059 and 5052 is associative

LCM of 5052 and 5059 = LCM of 5059 and 5052

Related Least Common Multiples of 5052

Related Least Common Multiples of 5059

Frequently Asked Questions on LCM of 5052 and 5059

1. What is the LCM of 5052 and 5059?

Answer: LCM of 5052 and 5059 is 25558068.

2. What are the Factors of 5052?

Answer: Factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052. There are 12 integers that are factors of 5052. The greatest factor of 5052 is 5052.

3. 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.

4. How to Find the LCM of 5052 and 5059?

Answer:

Least Common Multiple of 5052 and 5059 = 25558068

Step 1: Find the prime factorization of 5052

5052 = 2 x 2 x 3 x 421

Step 2: Find the prime factorization of 5059

5059 = 5059

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

LCM = 25558068 = 2 x 2 x 3 x 421 x 5059

Step 4: Therefore, the least common multiple of 5052 and 5059 is 25558068.