Least Common Multiple of 9047 and 9052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9047 and 9052 the smallest integer that is 81893444 that is divisible by both numbers.

Least Common Multiple (LCM) of 9047 and 9052 is 81893444.

LCM(9047,9052) = 81893444

LCM of 9047 and 9052

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

LCM of:
and

Least Common Multiple of 9047 and 9052

LCM of 9047 and 9052 is 81893444

Least common multiple can be found by multiplying the highest exponent prime factors of 9047 and 9052. First we will calculate the prime factors of 9047 and 9052.

Prime Factorization of 9047


83 9047
109 109
1

Prime factors of 9047 are 83,109. Prime factorization of 9047 in exponential form is:

9047 = 831×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9047 and 9052.

LCM(9047,9052) = 22×311×731×831×1091
LCM(9047,9052) = 81893444

Factors of 9047

List of positive integer factors of 9047 that divides 9047 without a remainder.

1, 83, 109, 9047

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

Least Common Multiple of 9047 and 9052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9047 and 9052, than apply into the LCM equation.

GCF(9047,9052) = 1
LCM(9047,9052) = ( 9047 × 9052) / 1
LCM(9047,9052) = 81893444 / 1
LCM(9047,9052) = 81893444

Properties of LCM 9047 and 9052

(i) The LCM of 9052 and 9047 is associative

LCM of 9047 and 9052 = LCM of 9052 and 9047

Related Least Common Multiples of 9047

Related Least Common Multiples of 9052

Frequently Asked Questions on LCM of 9047 and 9052

1. What is the LCM of 9047 and 9052?

Answer: LCM of 9047 and 9052 is 81893444.

2. What are the Factors of 9047?

Answer: Factors of 9047 are 1, 83, 109, 9047. There are 4 integers that are factors of 9047. The greatest factor of 9047 is 9047.

3. 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.

4. How to Find the LCM of 9047 and 9052?

Answer:

Least Common Multiple of 9047 and 9052 = 81893444

Step 1: Find the prime factorization of 9047

9047 = 83 x 109

Step 2: Find the prime factorization of 9052

9052 = 2 x 2 x 31 x 73

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

LCM = 81893444 = 2 x 2 x 31 x 73 x 83 x 109

Step 4: Therefore, the least common multiple of 9047 and 9052 is 81893444.