Least Common Multiple of 9052 and 9059

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 9059 the smallest integer that is 82002068 that is divisible by both numbers.

Least Common Multiple (LCM) of 9052 and 9059 is 82002068.

LCM(9052,9059) = 82002068

LCM of 9052 and 9059

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

LCM of:
and

Least Common Multiple of 9052 and 9059

LCM of 9052 and 9059 is 82002068

Least common multiple can be found by multiplying the highest exponent prime factors of 9052 and 9059. First we will calculate the prime factors of 9052 and 9059.

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 9059


9059 9059
1

Prime factors of 9059 are 9059. Prime factorization of 9059 in exponential form is:

9059 = 90591

Now multiplying the highest exponent prime factors to calculate the LCM of 9052 and 9059.

LCM(9052,9059) = 22×311×731×90591
LCM(9052,9059) = 82002068

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 9059

List of positive integer factors of 9059 that divides 9059 without a remainder.

1, 9059

Least Common Multiple of 9052 and 9059 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 9059, than apply into the LCM equation.

GCF(9052,9059) = 1
LCM(9052,9059) = ( 9052 × 9059) / 1
LCM(9052,9059) = 82002068 / 1
LCM(9052,9059) = 82002068

Properties of LCM 9052 and 9059

(i) The LCM of 9059 and 9052 is associative

LCM of 9052 and 9059 = LCM of 9059 and 9052

Related Least Common Multiples of 9052

Related Least Common Multiples of 9059

Frequently Asked Questions on LCM of 9052 and 9059

1. What is the LCM of 9052 and 9059?

Answer: LCM of 9052 and 9059 is 82002068.

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 9059?

Answer: Factors of 9059 are 1, 9059. There are 2 integers that are factors of 9059. The greatest factor of 9059 is 9059.

4. How to Find the LCM of 9052 and 9059?

Answer:

Least Common Multiple of 9052 and 9059 = 82002068

Step 1: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

Step 2: Find the prime factorization of 9059

9059 = 9059

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

LCM = 82002068 = 2 x 2 x 31 x 73 x 9059

Step 4: Therefore, the least common multiple of 9052 and 9059 is 82002068.