Least Common Multiple of 9052 and 9060

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 9060 the smallest integer that is 20502780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9052 and 9060 is 20502780.

LCM(9052,9060) = 20502780

LCM of 9052 and 9060

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

LCM of:
and

Least Common Multiple of 9052 and 9060

LCM of 9052 and 9060 is 20502780

Least common multiple can be found by multiplying the highest exponent prime factors of 9052 and 9060. First we will calculate the prime factors of 9052 and 9060.

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 9060


2 9060
2 4530
3 2265
5 755
151 151
1

Prime factors of 9060 are 2, 3, 5,151. Prime factorization of 9060 in exponential form is:

9060 = 22×31×51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9052 and 9060.

LCM(9052,9060) = 22×31×51×311×731×1511
LCM(9052,9060) = 20502780

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 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060

Least Common Multiple of 9052 and 9060 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 9060, than apply into the LCM equation.

GCF(9052,9060) = 4
LCM(9052,9060) = ( 9052 × 9060) / 4
LCM(9052,9060) = 82011120 / 4
LCM(9052,9060) = 20502780

Properties of LCM 9052 and 9060

(i) The LCM of 9060 and 9052 is associative

LCM of 9052 and 9060 = LCM of 9060 and 9052

Related Least Common Multiples of 9052

Related Least Common Multiples of 9060

Frequently Asked Questions on LCM of 9052 and 9060

1. What is the LCM of 9052 and 9060?

Answer: LCM of 9052 and 9060 is 20502780.

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 9060?

Answer: Factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060. There are 24 integers that are factors of 9060. The greatest factor of 9060 is 9060.

4. How to Find the LCM of 9052 and 9060?

Answer:

Least Common Multiple of 9052 and 9060 = 20502780

Step 1: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

Step 2: Find the prime factorization of 9060

9060 = 2 x 2 x 3 x 5 x 151

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

LCM = 20502780 = 2 x 2 x 3 x 5 x 31 x 73 x 151

Step 4: Therefore, the least common multiple of 9052 and 9060 is 20502780.