Least Common Multiple of 9054 and 9057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9054 and 9057 the smallest integer that is 27334026 that is divisible by both numbers.

Least Common Multiple (LCM) of 9054 and 9057 is 27334026.

LCM(9054,9057) = 27334026

LCM of 9054 and 9057

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

LCM of:
and

Least Common Multiple of 9054 and 9057

LCM of 9054 and 9057 is 27334026

Least common multiple can be found by multiplying the highest exponent prime factors of 9054 and 9057. First we will calculate the prime factors of 9054 and 9057.

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

Prime Factorization of 9057


3 9057
3019 3019
1

Prime factors of 9057 are 3,3019. Prime factorization of 9057 in exponential form is:

9057 = 31×30191

Now multiplying the highest exponent prime factors to calculate the LCM of 9054 and 9057.

LCM(9054,9057) = 21×32×5031×30191
LCM(9054,9057) = 27334026

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

Factors of 9057

List of positive integer factors of 9057 that divides 9057 without a remainder.

1, 3, 3019, 9057

Least Common Multiple of 9054 and 9057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9054 and 9057, than apply into the LCM equation.

GCF(9054,9057) = 3
LCM(9054,9057) = ( 9054 × 9057) / 3
LCM(9054,9057) = 82002078 / 3
LCM(9054,9057) = 27334026

Properties of LCM 9054 and 9057

(i) The LCM of 9057 and 9054 is associative

LCM of 9054 and 9057 = LCM of 9057 and 9054

Related Least Common Multiples of 9054

Related Least Common Multiples of 9057

Frequently Asked Questions on LCM of 9054 and 9057

1. What is the LCM of 9054 and 9057?

Answer: LCM of 9054 and 9057 is 27334026.

2. 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.

3. What are the Factors of 9057?

Answer: Factors of 9057 are 1, 3, 3019, 9057. There are 4 integers that are factors of 9057. The greatest factor of 9057 is 9057.

4. How to Find the LCM of 9054 and 9057?

Answer:

Least Common Multiple of 9054 and 9057 = 27334026

Step 1: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

Step 2: Find the prime factorization of 9057

9057 = 3 x 3019

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

LCM = 27334026 = 2 x 3 x 3 x 503 x 3019

Step 4: Therefore, the least common multiple of 9054 and 9057 is 27334026.