Least Common Multiple of 9051 and 9054

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 9054 the smallest integer that is 27315918 that is divisible by both numbers.

Least Common Multiple (LCM) of 9051 and 9054 is 27315918.

LCM(9051,9054) = 27315918

LCM of 9051 and 9054

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

LCM of:
and

Least Common Multiple of 9051 and 9054

LCM of 9051 and 9054 is 27315918

Least common multiple can be found by multiplying the highest exponent prime factors of 9051 and 9054. First we will calculate the prime factors of 9051 and 9054.

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 9054


2 9054
3 4527
3 1509
503 503
1

Prime factors of 9054 are 2, 3,503. Prime factorization of 9054 in exponential form is:

9054 = 21×32×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 9051 and 9054.

LCM(9051,9054) = 21×32×71×4311×5031
LCM(9051,9054) = 27315918

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 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054

Least Common Multiple of 9051 and 9054 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 9054, than apply into the LCM equation.

GCF(9051,9054) = 3
LCM(9051,9054) = ( 9051 × 9054) / 3
LCM(9051,9054) = 81947754 / 3
LCM(9051,9054) = 27315918

Properties of LCM 9051 and 9054

(i) The LCM of 9054 and 9051 is associative

LCM of 9051 and 9054 = LCM of 9054 and 9051

Related Least Common Multiples of 9051

Related Least Common Multiples of 9054

Frequently Asked Questions on LCM of 9051 and 9054

1. What is the LCM of 9051 and 9054?

Answer: LCM of 9051 and 9054 is 27315918.

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 9054?

Answer: Factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054. There are 12 integers that are factors of 9054. The greatest factor of 9054 is 9054.

4. How to Find the LCM of 9051 and 9054?

Answer:

Least Common Multiple of 9051 and 9054 = 27315918

Step 1: Find the prime factorization of 9051

9051 = 3 x 7 x 431

Step 2: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

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

LCM = 27315918 = 2 x 3 x 3 x 7 x 431 x 503

Step 4: Therefore, the least common multiple of 9051 and 9054 is 27315918.