Least Common Multiple of 7590 and 7598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7590 and 7598 the smallest integer that is 28834410 that is divisible by both numbers.

Least Common Multiple (LCM) of 7590 and 7598 is 28834410.

LCM(7590,7598) = 28834410

LCM of 7590 and 7598

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

LCM of:
and

Least Common Multiple of 7590 and 7598

LCM of 7590 and 7598 is 28834410

Least common multiple can be found by multiplying the highest exponent prime factors of 7590 and 7598. First we will calculate the prime factors of 7590 and 7598.

Prime Factorization of 7590


2 7590
3 3795
5 1265
11 253
23 23
1

Prime factors of 7590 are 2, 3, 5, 11,23. Prime factorization of 7590 in exponential form is:

7590 = 21×31×51×111×231

Prime Factorization of 7598


2 7598
29 3799
131 131
1

Prime factors of 7598 are 2, 29,131. Prime factorization of 7598 in exponential form is:

7598 = 21×291×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7590 and 7598.

LCM(7590,7598) = 21×31×51×111×231×291×1311
LCM(7590,7598) = 28834410

Factors of 7590

List of positive integer factors of 7590 that divides 7590 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590

Factors of 7598

List of positive integer factors of 7598 that divides 7598 without a remainder.

1, 2, 29, 58, 131, 262, 3799, 7598

Least Common Multiple of 7590 and 7598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7590 and 7598, than apply into the LCM equation.

GCF(7590,7598) = 2
LCM(7590,7598) = ( 7590 × 7598) / 2
LCM(7590,7598) = 57668820 / 2
LCM(7590,7598) = 28834410

Properties of LCM 7590 and 7598

(i) The LCM of 7598 and 7590 is associative

LCM of 7590 and 7598 = LCM of 7598 and 7590

Related Least Common Multiples of 7590

Related Least Common Multiples of 7598

Frequently Asked Questions on LCM of 7590 and 7598

1. What is the LCM of 7590 and 7598?

Answer: LCM of 7590 and 7598 is 28834410.

2. What are the Factors of 7590?

Answer: Factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590. There are 32 integers that are factors of 7590. The greatest factor of 7590 is 7590.

3. What are the Factors of 7598?

Answer: Factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598. There are 8 integers that are factors of 7598. The greatest factor of 7598 is 7598.

4. How to Find the LCM of 7590 and 7598?

Answer:

Least Common Multiple of 7590 and 7598 = 28834410

Step 1: Find the prime factorization of 7590

7590 = 2 x 3 x 5 x 11 x 23

Step 2: Find the prime factorization of 7598

7598 = 2 x 29 x 131

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

LCM = 28834410 = 2 x 3 x 5 x 11 x 23 x 29 x 131

Step 4: Therefore, the least common multiple of 7590 and 7598 is 28834410.