Least Common Multiple of 9051 and 9056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9051 and 9056 the smallest integer that is 81965856 that is divisible by both numbers.

Least Common Multiple (LCM) of 9051 and 9056 is 81965856.

LCM(9051,9056) = 81965856

LCM of 9051 and 9056

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

LCM of:
and

Least Common Multiple of 9051 and 9056

LCM of 9051 and 9056 is 81965856

Least common multiple can be found by multiplying the highest exponent prime factors of 9051 and 9056. First we will calculate the prime factors of 9051 and 9056.

Prime Factorization of 9051


3 9051
7 3017
431 431
1

Prime factors of 9051 are 3, 7,431. Prime factorization of 9051 in exponential form is:

9051 = 31×71×4311

Prime Factorization of 9056


2 9056
2 4528
2 2264
2 1132
2 566
283 283
1

Prime factors of 9056 are 2,283. Prime factorization of 9056 in exponential form is:

9056 = 25×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 9051 and 9056.

LCM(9051,9056) = 25×31×71×2831×4311
LCM(9051,9056) = 81965856

Factors of 9051

List of positive integer factors of 9051 that divides 9051 without a remainder.

1, 3, 7, 21, 431, 1293, 3017, 9051

Factors of 9056

List of positive integer factors of 9056 that divides 9056 without a remainder.

1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056

Least Common Multiple of 9051 and 9056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9051 and 9056, than apply into the LCM equation.

GCF(9051,9056) = 1
LCM(9051,9056) = ( 9051 × 9056) / 1
LCM(9051,9056) = 81965856 / 1
LCM(9051,9056) = 81965856

Properties of LCM 9051 and 9056

(i) The LCM of 9056 and 9051 is associative

LCM of 9051 and 9056 = LCM of 9056 and 9051

Related Least Common Multiples of 9051

Related Least Common Multiples of 9056

Frequently Asked Questions on LCM of 9051 and 9056

1. What is the LCM of 9051 and 9056?

Answer: LCM of 9051 and 9056 is 81965856.

2. What are the Factors of 9051?

Answer: Factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051. There are 8 integers that are factors of 9051. The greatest factor of 9051 is 9051.

3. What are the Factors of 9056?

Answer: Factors of 9056 are 1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056. There are 12 integers that are factors of 9056. The greatest factor of 9056 is 9056.

4. How to Find the LCM of 9051 and 9056?

Answer:

Least Common Multiple of 9051 and 9056 = 81965856

Step 1: Find the prime factorization of 9051

9051 = 3 x 7 x 431

Step 2: Find the prime factorization of 9056

9056 = 2 x 2 x 2 x 2 x 2 x 283

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

LCM = 81965856 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 283 x 431

Step 4: Therefore, the least common multiple of 9051 and 9056 is 81965856.