Least Common Multiple of 7483 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 7483 and 7488 the smallest integer that is 56032704 that is divisible by both numbers.

Least Common Multiple (LCM) of 7483 and 7488 is 56032704.

LCM(7483,7488) = 56032704

LCM of 7483 and 7488

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

LCM of:
and

Least Common Multiple of 7483 and 7488

LCM of 7483 and 7488 is 56032704

Least common multiple can be found by multiplying the highest exponent prime factors of 7483 and 7488. First we will calculate the prime factors of 7483 and 7488.

Prime Factorization of 7483


7 7483
1069 1069
1

Prime factors of 7483 are 7,1069. Prime factorization of 7483 in exponential form is:

7483 = 71×10691

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 7483 and 7488.

LCM(7483,7488) = 26×32×71×131×10691
LCM(7483,7488) = 56032704

Factors of 7483

List of positive integer factors of 7483 that divides 7483 without a remainder.

1, 7, 1069, 7483

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 7483 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 7483 and 7488, than apply into the LCM equation.

GCF(7483,7488) = 1
LCM(7483,7488) = ( 7483 × 7488) / 1
LCM(7483,7488) = 56032704 / 1
LCM(7483,7488) = 56032704

Properties of LCM 7483 and 7488

(i) The LCM of 7488 and 7483 is associative

LCM of 7483 and 7488 = LCM of 7488 and 7483

Related Least Common Multiples of 7483

Related Least Common Multiples of 7488

Frequently Asked Questions on LCM of 7483 and 7488

1. What is the LCM of 7483 and 7488?

Answer: LCM of 7483 and 7488 is 56032704.

2. What are the Factors of 7483?

Answer: Factors of 7483 are 1, 7, 1069, 7483. There are 4 integers that are factors of 7483. The greatest factor of 7483 is 7483.

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 7483 and 7488?

Answer:

Least Common Multiple of 7483 and 7488 = 56032704

Step 1: Find the prime factorization of 7483

7483 = 7 x 1069

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 = 56032704 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 1069

Step 4: Therefore, the least common multiple of 7483 and 7488 is 56032704.