Least Common Multiple of 9054 and 9058

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 9058 the smallest integer that is 41005566 that is divisible by both numbers.

Least Common Multiple (LCM) of 9054 and 9058 is 41005566.

LCM(9054,9058) = 41005566

LCM of 9054 and 9058

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

LCM of:
and

Least Common Multiple of 9054 and 9058

LCM of 9054 and 9058 is 41005566

Least common multiple can be found by multiplying the highest exponent prime factors of 9054 and 9058. First we will calculate the prime factors of 9054 and 9058.

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 9058


2 9058
7 4529
647 647
1

Prime factors of 9058 are 2, 7,647. Prime factorization of 9058 in exponential form is:

9058 = 21×71×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 9054 and 9058.

LCM(9054,9058) = 21×32×71×5031×6471
LCM(9054,9058) = 41005566

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 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1, 2, 7, 14, 647, 1294, 4529, 9058

Least Common Multiple of 9054 and 9058 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 9058, than apply into the LCM equation.

GCF(9054,9058) = 2
LCM(9054,9058) = ( 9054 × 9058) / 2
LCM(9054,9058) = 82011132 / 2
LCM(9054,9058) = 41005566

Properties of LCM 9054 and 9058

(i) The LCM of 9058 and 9054 is associative

LCM of 9054 and 9058 = LCM of 9058 and 9054

Related Least Common Multiples of 9054

Related Least Common Multiples of 9058

Frequently Asked Questions on LCM of 9054 and 9058

1. What is the LCM of 9054 and 9058?

Answer: LCM of 9054 and 9058 is 41005566.

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 9058?

Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.

4. How to Find the LCM of 9054 and 9058?

Answer:

Least Common Multiple of 9054 and 9058 = 41005566

Step 1: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

Step 2: Find the prime factorization of 9058

9058 = 2 x 7 x 647

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

LCM = 41005566 = 2 x 3 x 3 x 7 x 503 x 647

Step 4: Therefore, the least common multiple of 9054 and 9058 is 41005566.