Least Common Multiple of 9052 and 9056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9052 and 9056 the smallest integer that is 20493728 that is divisible by both numbers.

Least Common Multiple (LCM) of 9052 and 9056 is 20493728.

LCM(9052,9056) = 20493728

LCM of 9052 and 9056

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

LCM of:
and

Least Common Multiple of 9052 and 9056

LCM of 9052 and 9056 is 20493728

Least common multiple can be found by multiplying the highest exponent prime factors of 9052 and 9056. First we will calculate the prime factors of 9052 and 9056.

Prime Factorization of 9052


2 9052
2 4526
31 2263
73 73
1

Prime factors of 9052 are 2, 31,73. Prime factorization of 9052 in exponential form is:

9052 = 22×311×731

Prime Factorization of 9056


2 9056
2 4528
2 2264
2 1132
2 566
283 283
1

Prime factors of 9056 are 2,283. Prime factorization of 9056 in exponential form is:

9056 = 25×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 9052 and 9056.

LCM(9052,9056) = 25×311×731×2831
LCM(9052,9056) = 20493728

Factors of 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052

Factors of 9056

List of positive integer factors of 9056 that divides 9056 without a remainder.

1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056

Least Common Multiple of 9052 and 9056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9052 and 9056, than apply into the LCM equation.

GCF(9052,9056) = 4
LCM(9052,9056) = ( 9052 × 9056) / 4
LCM(9052,9056) = 81974912 / 4
LCM(9052,9056) = 20493728

Properties of LCM 9052 and 9056

(i) The LCM of 9056 and 9052 is associative

LCM of 9052 and 9056 = LCM of 9056 and 9052

Related Least Common Multiples of 9052

Related Least Common Multiples of 9056

Frequently Asked Questions on LCM of 9052 and 9056

1. What is the LCM of 9052 and 9056?

Answer: LCM of 9052 and 9056 is 20493728.

2. What are the Factors of 9052?

Answer: Factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052. There are 12 integers that are factors of 9052. The greatest factor of 9052 is 9052.

3. What are the Factors of 9056?

Answer: Factors of 9056 are 1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056. There are 12 integers that are factors of 9056. The greatest factor of 9056 is 9056.

4. How to Find the LCM of 9052 and 9056?

Answer:

Least Common Multiple of 9052 and 9056 = 20493728

Step 1: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

Step 2: Find the prime factorization of 9056

9056 = 2 x 2 x 2 x 2 x 2 x 283

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

LCM = 20493728 = 2 x 2 x 2 x 2 x 2 x 31 x 73 x 283

Step 4: Therefore, the least common multiple of 9052 and 9056 is 20493728.