Least Common Multiple of 9040 and 9048

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 9048 the smallest integer that is 10224240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9040 and 9048 is 10224240.

LCM(9040,9048) = 10224240

LCM of 9040 and 9048

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

LCM of:
and

Least Common Multiple of 9040 and 9048

LCM of 9040 and 9048 is 10224240

Least common multiple can be found by multiplying the highest exponent prime factors of 9040 and 9048. First we will calculate the prime factors of 9040 and 9048.

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 9048


2 9048
2 4524
2 2262
3 1131
13 377
29 29
1

Prime factors of 9048 are 2, 3, 13,29. Prime factorization of 9048 in exponential form is:

9048 = 23×31×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9040 and 9048.

LCM(9040,9048) = 24×31×51×131×291×1131
LCM(9040,9048) = 10224240

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 9048

List of positive integer factors of 9048 that divides 9048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048

Least Common Multiple of 9040 and 9048 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 9048, than apply into the LCM equation.

GCF(9040,9048) = 8
LCM(9040,9048) = ( 9040 × 9048) / 8
LCM(9040,9048) = 81793920 / 8
LCM(9040,9048) = 10224240

Properties of LCM 9040 and 9048

(i) The LCM of 9048 and 9040 is associative

LCM of 9040 and 9048 = LCM of 9048 and 9040

Related Least Common Multiples of 9040

Related Least Common Multiples of 9048

Frequently Asked Questions on LCM of 9040 and 9048

1. What is the LCM of 9040 and 9048?

Answer: LCM of 9040 and 9048 is 10224240.

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 9048?

Answer: Factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048. There are 32 integers that are factors of 9048. The greatest factor of 9048 is 9048.

4. How to Find the LCM of 9040 and 9048?

Answer:

Least Common Multiple of 9040 and 9048 = 10224240

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 9048

9048 = 2 x 2 x 2 x 3 x 13 x 29

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

LCM = 10224240 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 29 x 113

Step 4: Therefore, the least common multiple of 9040 and 9048 is 10224240.