Least Common Multiple of 9052 and 9053

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 9053 the smallest integer that is 81947756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9052 and 9053 is 81947756.

LCM(9052,9053) = 81947756

LCM of 9052 and 9053

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

LCM of:
and

Least Common Multiple of 9052 and 9053

LCM of 9052 and 9053 is 81947756

Least common multiple can be found by multiplying the highest exponent prime factors of 9052 and 9053. First we will calculate the prime factors of 9052 and 9053.

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 9053


11 9053
823 823
1

Prime factors of 9053 are 11,823. Prime factorization of 9053 in exponential form is:

9053 = 111×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 9052 and 9053.

LCM(9052,9053) = 22×111×311×731×8231
LCM(9052,9053) = 81947756

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 9053

List of positive integer factors of 9053 that divides 9053 without a remainder.

1, 11, 823, 9053

Least Common Multiple of 9052 and 9053 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 9053, than apply into the LCM equation.

GCF(9052,9053) = 1
LCM(9052,9053) = ( 9052 × 9053) / 1
LCM(9052,9053) = 81947756 / 1
LCM(9052,9053) = 81947756

Properties of LCM 9052 and 9053

(i) The LCM of 9053 and 9052 is associative

LCM of 9052 and 9053 = LCM of 9053 and 9052

Related Least Common Multiples of 9052

Related Least Common Multiples of 9053

Frequently Asked Questions on LCM of 9052 and 9053

1. What is the LCM of 9052 and 9053?

Answer: LCM of 9052 and 9053 is 81947756.

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 9053?

Answer: Factors of 9053 are 1, 11, 823, 9053. There are 4 integers that are factors of 9053. The greatest factor of 9053 is 9053.

4. How to Find the LCM of 9052 and 9053?

Answer:

Least Common Multiple of 9052 and 9053 = 81947756

Step 1: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

Step 2: Find the prime factorization of 9053

9053 = 11 x 823

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

LCM = 81947756 = 2 x 2 x 11 x 31 x 73 x 823

Step 4: Therefore, the least common multiple of 9052 and 9053 is 81947756.