Least Common Multiple of 9034 and 9040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9034 and 9040 the smallest integer that is 40833680 that is divisible by both numbers.

Least Common Multiple (LCM) of 9034 and 9040 is 40833680.

LCM(9034,9040) = 40833680

LCM of 9034 and 9040

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

LCM of:
and

Least Common Multiple of 9034 and 9040

LCM of 9034 and 9040 is 40833680

Least common multiple can be found by multiplying the highest exponent prime factors of 9034 and 9040. First we will calculate the prime factors of 9034 and 9040.

Prime Factorization of 9034


2 9034
4517 4517
1

Prime factors of 9034 are 2,4517. Prime factorization of 9034 in exponential form is:

9034 = 21×45171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9034 and 9040.

LCM(9034,9040) = 24×51×1131×45171
LCM(9034,9040) = 40833680

Factors of 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1, 2, 4517, 9034

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

Least Common Multiple of 9034 and 9040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9034 and 9040, than apply into the LCM equation.

GCF(9034,9040) = 2
LCM(9034,9040) = ( 9034 × 9040) / 2
LCM(9034,9040) = 81667360 / 2
LCM(9034,9040) = 40833680

Properties of LCM 9034 and 9040

(i) The LCM of 9040 and 9034 is associative

LCM of 9034 and 9040 = LCM of 9040 and 9034

Related Least Common Multiples of 9034

Related Least Common Multiples of 9040

Frequently Asked Questions on LCM of 9034 and 9040

1. What is the LCM of 9034 and 9040?

Answer: LCM of 9034 and 9040 is 40833680.

2. What are the Factors of 9034?

Answer: Factors of 9034 are 1, 2, 4517, 9034. There are 4 integers that are factors of 9034. The greatest factor of 9034 is 9034.

3. 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.

4. How to Find the LCM of 9034 and 9040?

Answer:

Least Common Multiple of 9034 and 9040 = 40833680

Step 1: Find the prime factorization of 9034

9034 = 2 x 4517

Step 2: Find the prime factorization of 9040

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

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

LCM = 40833680 = 2 x 2 x 2 x 2 x 5 x 113 x 4517

Step 4: Therefore, the least common multiple of 9034 and 9040 is 40833680.