Least Common Multiple of 9036 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 9036 and 9040 the smallest integer that is 20421360 that is divisible by both numbers.

Least Common Multiple (LCM) of 9036 and 9040 is 20421360.

LCM(9036,9040) = 20421360

LCM of 9036 and 9040

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

LCM of:
and

Least Common Multiple of 9036 and 9040

LCM of 9036 and 9040 is 20421360

Least common multiple can be found by multiplying the highest exponent prime factors of 9036 and 9040. First we will calculate the prime factors of 9036 and 9040.

Prime Factorization of 9036


2 9036
2 4518
3 2259
3 753
251 251
1

Prime factors of 9036 are 2, 3,251. Prime factorization of 9036 in exponential form is:

9036 = 22×32×2511

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 9036 and 9040.

LCM(9036,9040) = 24×32×51×1131×2511
LCM(9036,9040) = 20421360

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036

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 9036 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 9036 and 9040, than apply into the LCM equation.

GCF(9036,9040) = 4
LCM(9036,9040) = ( 9036 × 9040) / 4
LCM(9036,9040) = 81685440 / 4
LCM(9036,9040) = 20421360

Properties of LCM 9036 and 9040

(i) The LCM of 9040 and 9036 is associative

LCM of 9036 and 9040 = LCM of 9040 and 9036

Related Least Common Multiples of 9036

Related Least Common Multiples of 9040

Frequently Asked Questions on LCM of 9036 and 9040

1. What is the LCM of 9036 and 9040?

Answer: LCM of 9036 and 9040 is 20421360.

2. What are the Factors of 9036?

Answer: Factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036. There are 18 integers that are factors of 9036. The greatest factor of 9036 is 9036.

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 9036 and 9040?

Answer:

Least Common Multiple of 9036 and 9040 = 20421360

Step 1: Find the prime factorization of 9036

9036 = 2 x 2 x 3 x 3 x 251

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 = 20421360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 113 x 251

Step 4: Therefore, the least common multiple of 9036 and 9040 is 20421360.