Least Common Multiple of 7488 and 7493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7488 and 7493 the smallest integer that is 56107584 that is divisible by both numbers.

Least Common Multiple (LCM) of 7488 and 7493 is 56107584.

LCM(7488,7493) = 56107584

LCM of 7488 and 7493

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

LCM of:
and

Least Common Multiple of 7488 and 7493

LCM of 7488 and 7493 is 56107584

Least common multiple can be found by multiplying the highest exponent prime factors of 7488 and 7493. First we will calculate the prime factors of 7488 and 7493.

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

Prime Factorization of 7493


59 7493
127 127
1

Prime factors of 7493 are 59,127. Prime factorization of 7493 in exponential form is:

7493 = 591×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7488 and 7493.

LCM(7488,7493) = 26×32×131×591×1271
LCM(7488,7493) = 56107584

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

Factors of 7493

List of positive integer factors of 7493 that divides 7493 without a remainder.

1, 59, 127, 7493

Least Common Multiple of 7488 and 7493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7488 and 7493, than apply into the LCM equation.

GCF(7488,7493) = 1
LCM(7488,7493) = ( 7488 × 7493) / 1
LCM(7488,7493) = 56107584 / 1
LCM(7488,7493) = 56107584

Properties of LCM 7488 and 7493

(i) The LCM of 7493 and 7488 is associative

LCM of 7488 and 7493 = LCM of 7493 and 7488

Related Least Common Multiples of 7488

Related Least Common Multiples of 7493

Frequently Asked Questions on LCM of 7488 and 7493

1. What is the LCM of 7488 and 7493?

Answer: LCM of 7488 and 7493 is 56107584.

2. 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.

3. What are the Factors of 7493?

Answer: Factors of 7493 are 1, 59, 127, 7493. There are 4 integers that are factors of 7493. The greatest factor of 7493 is 7493.

4. How to Find the LCM of 7488 and 7493?

Answer:

Least Common Multiple of 7488 and 7493 = 56107584

Step 1: 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 2: Find the prime factorization of 7493

7493 = 59 x 127

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

LCM = 56107584 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 59 x 127

Step 4: Therefore, the least common multiple of 7488 and 7493 is 56107584.