Least Common Multiple of 9054 and 9062

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 9062 the smallest integer that is 41023674 that is divisible by both numbers.

Least Common Multiple (LCM) of 9054 and 9062 is 41023674.

LCM(9054,9062) = 41023674

LCM of 9054 and 9062

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

LCM of:
and

Least Common Multiple of 9054 and 9062

LCM of 9054 and 9062 is 41023674

Least common multiple can be found by multiplying the highest exponent prime factors of 9054 and 9062. First we will calculate the prime factors of 9054 and 9062.

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 9062


2 9062
23 4531
197 197
1

Prime factors of 9062 are 2, 23,197. Prime factorization of 9062 in exponential form is:

9062 = 21×231×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 9054 and 9062.

LCM(9054,9062) = 21×32×231×1971×5031
LCM(9054,9062) = 41023674

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 9062

List of positive integer factors of 9062 that divides 9062 without a remainder.

1, 2, 23, 46, 197, 394, 4531, 9062

Least Common Multiple of 9054 and 9062 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 9062, than apply into the LCM equation.

GCF(9054,9062) = 2
LCM(9054,9062) = ( 9054 × 9062) / 2
LCM(9054,9062) = 82047348 / 2
LCM(9054,9062) = 41023674

Properties of LCM 9054 and 9062

(i) The LCM of 9062 and 9054 is associative

LCM of 9054 and 9062 = LCM of 9062 and 9054

Related Least Common Multiples of 9054

Related Least Common Multiples of 9062

Frequently Asked Questions on LCM of 9054 and 9062

1. What is the LCM of 9054 and 9062?

Answer: LCM of 9054 and 9062 is 41023674.

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 9062?

Answer: Factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062. There are 8 integers that are factors of 9062. The greatest factor of 9062 is 9062.

4. How to Find the LCM of 9054 and 9062?

Answer:

Least Common Multiple of 9054 and 9062 = 41023674

Step 1: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

Step 2: Find the prime factorization of 9062

9062 = 2 x 23 x 197

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

LCM = 41023674 = 2 x 3 x 3 x 23 x 197 x 503

Step 4: Therefore, the least common multiple of 9054 and 9062 is 41023674.