Least Common Multiple of 9040 and 9041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9040 and 9041 the smallest integer that is 81730640 that is divisible by both numbers.

Least Common Multiple (LCM) of 9040 and 9041 is 81730640.

LCM(9040,9041) = 81730640

LCM of 9040 and 9041

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

LCM of:
and

Least Common Multiple of 9040 and 9041

LCM of 9040 and 9041 is 81730640

Least common multiple can be found by multiplying the highest exponent prime factors of 9040 and 9041. First we will calculate the prime factors of 9040 and 9041.

Prime Factorization of 9040


2 9040
2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 9040 are 2, 5,113. Prime factorization of 9040 in exponential form is:

9040 = 24×51×1131

Prime Factorization of 9041


9041 9041
1

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

9041 = 90411

Now multiplying the highest exponent prime factors to calculate the LCM of 9040 and 9041.

LCM(9040,9041) = 24×51×1131×90411
LCM(9040,9041) = 81730640

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040

Factors of 9041

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

1, 9041

Least Common Multiple of 9040 and 9041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9040 and 9041, than apply into the LCM equation.

GCF(9040,9041) = 1
LCM(9040,9041) = ( 9040 × 9041) / 1
LCM(9040,9041) = 81730640 / 1
LCM(9040,9041) = 81730640

Properties of LCM 9040 and 9041

(i) The LCM of 9041 and 9040 is associative

LCM of 9040 and 9041 = LCM of 9041 and 9040

Related Least Common Multiples of 9040

Related Least Common Multiples of 9041

Frequently Asked Questions on LCM of 9040 and 9041

1. What is the LCM of 9040 and 9041?

Answer: LCM of 9040 and 9041 is 81730640.

2. What are the Factors of 9040?

Answer: Factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040. There are 20 integers that are factors of 9040. The greatest factor of 9040 is 9040.

3. 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.

4. How to Find the LCM of 9040 and 9041?

Answer:

Least Common Multiple of 9040 and 9041 = 81730640

Step 1: Find the prime factorization of 9040

9040 = 2 x 2 x 2 x 2 x 5 x 113

Step 2: Find the prime factorization of 9041

9041 = 9041

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

LCM = 81730640 = 2 x 2 x 2 x 2 x 5 x 113 x 9041

Step 4: Therefore, the least common multiple of 9040 and 9041 is 81730640.