Least Common Multiple of 9041 and 9046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9041 and 9046 the smallest integer that is 81784886 that is divisible by both numbers.

Least Common Multiple (LCM) of 9041 and 9046 is 81784886.

LCM(9041,9046) = 81784886

LCM of 9041 and 9046

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

LCM of:
and

Least Common Multiple of 9041 and 9046

LCM of 9041 and 9046 is 81784886

Least common multiple can be found by multiplying the highest exponent prime factors of 9041 and 9046. First we will calculate the prime factors of 9041 and 9046.

Prime Factorization of 9041


9041 9041
1

Prime factors of 9041 are 9041. Prime factorization of 9041 in exponential form is:

9041 = 90411

Prime Factorization of 9046


2 9046
4523 4523
1

Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:

9046 = 21×45231

Now multiplying the highest exponent prime factors to calculate the LCM of 9041 and 9046.

LCM(9041,9046) = 21×45231×90411
LCM(9041,9046) = 81784886

Factors of 9041

List of positive integer factors of 9041 that divides 9041 without a remainder.

1, 9041

Factors of 9046

List of positive integer factors of 9046 that divides 9046 without a remainder.

1, 2, 4523, 9046

Least Common Multiple of 9041 and 9046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9041 and 9046, than apply into the LCM equation.

GCF(9041,9046) = 1
LCM(9041,9046) = ( 9041 × 9046) / 1
LCM(9041,9046) = 81784886 / 1
LCM(9041,9046) = 81784886

Properties of LCM 9041 and 9046

(i) The LCM of 9046 and 9041 is associative

LCM of 9041 and 9046 = LCM of 9046 and 9041

Related Least Common Multiples of 9041

Related Least Common Multiples of 9046

Frequently Asked Questions on LCM of 9041 and 9046

1. What is the LCM of 9041 and 9046?

Answer: LCM of 9041 and 9046 is 81784886.

2. What are the Factors of 9041?

Answer: Factors of 9041 are 1, 9041. There are 2 integers that are factors of 9041. The greatest factor of 9041 is 9041.

3. What are the Factors of 9046?

Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.

4. How to Find the LCM of 9041 and 9046?

Answer:

Least Common Multiple of 9041 and 9046 = 81784886

Step 1: Find the prime factorization of 9041

9041 = 9041

Step 2: Find the prime factorization of 9046

9046 = 2 x 4523

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

LCM = 81784886 = 2 x 4523 x 9041

Step 4: Therefore, the least common multiple of 9041 and 9046 is 81784886.