Least Common Multiple of 7481 and 7488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7481 and 7488 the smallest integer that is 56017728 that is divisible by both numbers.

Least Common Multiple (LCM) of 7481 and 7488 is 56017728.

LCM(7481,7488) = 56017728

LCM of 7481 and 7488

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

LCM of:
and

Least Common Multiple of 7481 and 7488

LCM of 7481 and 7488 is 56017728

Least common multiple can be found by multiplying the highest exponent prime factors of 7481 and 7488. First we will calculate the prime factors of 7481 and 7488.

Prime Factorization of 7481


7481 7481
1

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

Prime Factorization of 7488


2 7488
2 3744
2 1872
2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 7488 are 2, 3,13. Prime factorization of 7488 in exponential form is:

7488 = 26×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7481 and 7488.

LCM(7481,7488) = 26×32×131×74811
LCM(7481,7488) = 56017728

Factors of 7481

List of positive integer factors of 7481 that divides 7481 without a remainder.

1, 7481

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488

Least Common Multiple of 7481 and 7488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7481 and 7488, than apply into the LCM equation.

GCF(7481,7488) = 1
LCM(7481,7488) = ( 7481 × 7488) / 1
LCM(7481,7488) = 56017728 / 1
LCM(7481,7488) = 56017728

Properties of LCM 7481 and 7488

(i) The LCM of 7488 and 7481 is associative

LCM of 7481 and 7488 = LCM of 7488 and 7481

Related Least Common Multiples of 7481

Related Least Common Multiples of 7488

Frequently Asked Questions on LCM of 7481 and 7488

1. What is the LCM of 7481 and 7488?

Answer: LCM of 7481 and 7488 is 56017728.

2. What are the Factors of 7481?

Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.

3. What are the Factors of 7488?

Answer: Factors of 7488 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744, 7488. There are 42 integers that are factors of 7488. The greatest factor of 7488 is 7488.

4. How to Find the LCM of 7481 and 7488?

Answer:

Least Common Multiple of 7481 and 7488 = 56017728

Step 1: Find the prime factorization of 7481

7481 = 7481

Step 2: Find the prime factorization of 7488

7488 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 56017728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 7481

Step 4: Therefore, the least common multiple of 7481 and 7488 is 56017728.