Least Common Multiple of 5052 and 5056

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 5056 the smallest integer that is 6385728 that is divisible by both numbers.

Least Common Multiple (LCM) of 5052 and 5056 is 6385728.

LCM(5052,5056) = 6385728

LCM of 5052 and 5056

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

LCM of:
and

Least Common Multiple of 5052 and 5056

LCM of 5052 and 5056 is 6385728

Least common multiple can be found by multiplying the highest exponent prime factors of 5052 and 5056. First we will calculate the prime factors of 5052 and 5056.

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 5056


2 5056
2 2528
2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 5056 are 2,79. Prime factorization of 5056 in exponential form is:

5056 = 26×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5052 and 5056.

LCM(5052,5056) = 26×31×791×4211
LCM(5052,5056) = 6385728

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 5056

List of positive integer factors of 5056 that divides 5056 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056

Least Common Multiple of 5052 and 5056 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 5056, than apply into the LCM equation.

GCF(5052,5056) = 4
LCM(5052,5056) = ( 5052 × 5056) / 4
LCM(5052,5056) = 25542912 / 4
LCM(5052,5056) = 6385728

Properties of LCM 5052 and 5056

(i) The LCM of 5056 and 5052 is associative

LCM of 5052 and 5056 = LCM of 5056 and 5052

Related Least Common Multiples of 5052

Related Least Common Multiples of 5056

Frequently Asked Questions on LCM of 5052 and 5056

1. What is the LCM of 5052 and 5056?

Answer: LCM of 5052 and 5056 is 6385728.

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 5056?

Answer: Factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056. There are 14 integers that are factors of 5056. The greatest factor of 5056 is 5056.

4. How to Find the LCM of 5052 and 5056?

Answer:

Least Common Multiple of 5052 and 5056 = 6385728

Step 1: Find the prime factorization of 5052

5052 = 2 x 2 x 3 x 421

Step 2: Find the prime factorization of 5056

5056 = 2 x 2 x 2 x 2 x 2 x 2 x 79

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

LCM = 6385728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 79 x 421

Step 4: Therefore, the least common multiple of 5052 and 5056 is 6385728.