Least Common Multiple of 7588 and 7596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7588 and 7596 the smallest integer that is 14409612 that is divisible by both numbers.

Least Common Multiple (LCM) of 7588 and 7596 is 14409612.

LCM(7588,7596) = 14409612

LCM of 7588 and 7596

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

LCM of:
and

Least Common Multiple of 7588 and 7596

LCM of 7588 and 7596 is 14409612

Least common multiple can be found by multiplying the highest exponent prime factors of 7588 and 7596. First we will calculate the prime factors of 7588 and 7596.

Prime Factorization of 7588


2 7588
2 3794
7 1897
271 271
1

Prime factors of 7588 are 2, 7,271. Prime factorization of 7588 in exponential form is:

7588 = 22×71×2711

Prime Factorization of 7596


2 7596
2 3798
3 1899
3 633
211 211
1

Prime factors of 7596 are 2, 3,211. Prime factorization of 7596 in exponential form is:

7596 = 22×32×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 7588 and 7596.

LCM(7588,7596) = 22×32×71×2111×2711
LCM(7588,7596) = 14409612

Factors of 7588

List of positive integer factors of 7588 that divides 7588 without a remainder.

1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588

Factors of 7596

List of positive integer factors of 7596 that divides 7596 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596

Least Common Multiple of 7588 and 7596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7588 and 7596, than apply into the LCM equation.

GCF(7588,7596) = 4
LCM(7588,7596) = ( 7588 × 7596) / 4
LCM(7588,7596) = 57638448 / 4
LCM(7588,7596) = 14409612

Properties of LCM 7588 and 7596

(i) The LCM of 7596 and 7588 is associative

LCM of 7588 and 7596 = LCM of 7596 and 7588

Related Least Common Multiples of 7588

Related Least Common Multiples of 7596

Frequently Asked Questions on LCM of 7588 and 7596

1. What is the LCM of 7588 and 7596?

Answer: LCM of 7588 and 7596 is 14409612.

2. What are the Factors of 7588?

Answer: Factors of 7588 are 1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794, 7588. There are 12 integers that are factors of 7588. The greatest factor of 7588 is 7588.

3. What are the Factors of 7596?

Answer: Factors of 7596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596. There are 18 integers that are factors of 7596. The greatest factor of 7596 is 7596.

4. How to Find the LCM of 7588 and 7596?

Answer:

Least Common Multiple of 7588 and 7596 = 14409612

Step 1: Find the prime factorization of 7588

7588 = 2 x 2 x 7 x 271

Step 2: Find the prime factorization of 7596

7596 = 2 x 2 x 3 x 3 x 211

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

LCM = 14409612 = 2 x 2 x 3 x 3 x 7 x 211 x 271

Step 4: Therefore, the least common multiple of 7588 and 7596 is 14409612.