Least Common Multiple of 5052 and 5057

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 5057 the smallest integer that is 25547964 that is divisible by both numbers.

Least Common Multiple (LCM) of 5052 and 5057 is 25547964.

LCM(5052,5057) = 25547964

LCM of 5052 and 5057

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

LCM of:
and

Least Common Multiple of 5052 and 5057

LCM of 5052 and 5057 is 25547964

Least common multiple can be found by multiplying the highest exponent prime factors of 5052 and 5057. First we will calculate the prime factors of 5052 and 5057.

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 5057


13 5057
389 389
1

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

5057 = 131×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 5052 and 5057.

LCM(5052,5057) = 22×31×131×3891×4211
LCM(5052,5057) = 25547964

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 5057

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

1, 13, 389, 5057

Least Common Multiple of 5052 and 5057 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 5057, than apply into the LCM equation.

GCF(5052,5057) = 1
LCM(5052,5057) = ( 5052 × 5057) / 1
LCM(5052,5057) = 25547964 / 1
LCM(5052,5057) = 25547964

Properties of LCM 5052 and 5057

(i) The LCM of 5057 and 5052 is associative

LCM of 5052 and 5057 = LCM of 5057 and 5052

Related Least Common Multiples of 5052

Related Least Common Multiples of 5057

Frequently Asked Questions on LCM of 5052 and 5057

1. What is the LCM of 5052 and 5057?

Answer: LCM of 5052 and 5057 is 25547964.

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 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.

4. How to Find the LCM of 5052 and 5057?

Answer:

Least Common Multiple of 5052 and 5057 = 25547964

Step 1: Find the prime factorization of 5052

5052 = 2 x 2 x 3 x 421

Step 2: Find the prime factorization of 5057

5057 = 13 x 389

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

LCM = 25547964 = 2 x 2 x 3 x 13 x 389 x 421

Step 4: Therefore, the least common multiple of 5052 and 5057 is 25547964.