Least Common Multiple of 7488 and 7492

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 7492 the smallest integer that is 14025024 that is divisible by both numbers.

Least Common Multiple (LCM) of 7488 and 7492 is 14025024.

LCM(7488,7492) = 14025024

LCM of 7488 and 7492

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

LCM of:
and

Least Common Multiple of 7488 and 7492

LCM of 7488 and 7492 is 14025024

Least common multiple can be found by multiplying the highest exponent prime factors of 7488 and 7492. First we will calculate the prime factors of 7488 and 7492.

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 7492


2 7492
2 3746
1873 1873
1

Prime factors of 7492 are 2,1873. Prime factorization of 7492 in exponential form is:

7492 = 22×18731

Now multiplying the highest exponent prime factors to calculate the LCM of 7488 and 7492.

LCM(7488,7492) = 26×32×131×18731
LCM(7488,7492) = 14025024

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 7492

List of positive integer factors of 7492 that divides 7492 without a remainder.

1, 2, 4, 1873, 3746, 7492

Least Common Multiple of 7488 and 7492 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 7492, than apply into the LCM equation.

GCF(7488,7492) = 4
LCM(7488,7492) = ( 7488 × 7492) / 4
LCM(7488,7492) = 56100096 / 4
LCM(7488,7492) = 14025024

Properties of LCM 7488 and 7492

(i) The LCM of 7492 and 7488 is associative

LCM of 7488 and 7492 = LCM of 7492 and 7488

Related Least Common Multiples of 7488

Related Least Common Multiples of 7492

Frequently Asked Questions on LCM of 7488 and 7492

1. What is the LCM of 7488 and 7492?

Answer: LCM of 7488 and 7492 is 14025024.

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 7492?

Answer: Factors of 7492 are 1, 2, 4, 1873, 3746, 7492. There are 6 integers that are factors of 7492. The greatest factor of 7492 is 7492.

4. How to Find the LCM of 7488 and 7492?

Answer:

Least Common Multiple of 7488 and 7492 = 14025024

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 7492

7492 = 2 x 2 x 1873

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

LCM = 14025024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 1873

Step 4: Therefore, the least common multiple of 7488 and 7492 is 14025024.