Least Common Multiple of 9052 and 9058

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 9058 the smallest integer that is 40996508 that is divisible by both numbers.

Least Common Multiple (LCM) of 9052 and 9058 is 40996508.

LCM(9052,9058) = 40996508

LCM of 9052 and 9058

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

LCM of:
and

Least Common Multiple of 9052 and 9058

LCM of 9052 and 9058 is 40996508

Least common multiple can be found by multiplying the highest exponent prime factors of 9052 and 9058. First we will calculate the prime factors of 9052 and 9058.

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 9058


2 9058
7 4529
647 647
1

Prime factors of 9058 are 2, 7,647. Prime factorization of 9058 in exponential form is:

9058 = 21×71×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 9052 and 9058.

LCM(9052,9058) = 22×71×311×731×6471
LCM(9052,9058) = 40996508

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 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1, 2, 7, 14, 647, 1294, 4529, 9058

Least Common Multiple of 9052 and 9058 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 9058, than apply into the LCM equation.

GCF(9052,9058) = 2
LCM(9052,9058) = ( 9052 × 9058) / 2
LCM(9052,9058) = 81993016 / 2
LCM(9052,9058) = 40996508

Properties of LCM 9052 and 9058

(i) The LCM of 9058 and 9052 is associative

LCM of 9052 and 9058 = LCM of 9058 and 9052

Related Least Common Multiples of 9052

Related Least Common Multiples of 9058

Frequently Asked Questions on LCM of 9052 and 9058

1. What is the LCM of 9052 and 9058?

Answer: LCM of 9052 and 9058 is 40996508.

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 9058?

Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.

4. How to Find the LCM of 9052 and 9058?

Answer:

Least Common Multiple of 9052 and 9058 = 40996508

Step 1: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

Step 2: Find the prime factorization of 9058

9058 = 2 x 7 x 647

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

LCM = 40996508 = 2 x 2 x 7 x 31 x 73 x 647

Step 4: Therefore, the least common multiple of 9052 and 9058 is 40996508.