Least Common Multiple of 7578 and 7582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7578 and 7582 the smallest integer that is 28728198 that is divisible by both numbers.

Least Common Multiple (LCM) of 7578 and 7582 is 28728198.

LCM(7578,7582) = 28728198

LCM of 7578 and 7582

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

LCM of:
and

Least Common Multiple of 7578 and 7582

LCM of 7578 and 7582 is 28728198

Least common multiple can be found by multiplying the highest exponent prime factors of 7578 and 7582. First we will calculate the prime factors of 7578 and 7582.

Prime Factorization of 7578


2 7578
3 3789
3 1263
421 421
1

Prime factors of 7578 are 2, 3,421. Prime factorization of 7578 in exponential form is:

7578 = 21×32×4211

Prime Factorization of 7582


2 7582
17 3791
223 223
1

Prime factors of 7582 are 2, 17,223. Prime factorization of 7582 in exponential form is:

7582 = 21×171×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 7578 and 7582.

LCM(7578,7582) = 21×32×171×2231×4211
LCM(7578,7582) = 28728198

Factors of 7578

List of positive integer factors of 7578 that divides 7578 without a remainder.

1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1, 2, 17, 34, 223, 446, 3791, 7582

Least Common Multiple of 7578 and 7582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7578 and 7582, than apply into the LCM equation.

GCF(7578,7582) = 2
LCM(7578,7582) = ( 7578 × 7582) / 2
LCM(7578,7582) = 57456396 / 2
LCM(7578,7582) = 28728198

Properties of LCM 7578 and 7582

(i) The LCM of 7582 and 7578 is associative

LCM of 7578 and 7582 = LCM of 7582 and 7578

Related Least Common Multiples of 7578

Related Least Common Multiples of 7582

Frequently Asked Questions on LCM of 7578 and 7582

1. What is the LCM of 7578 and 7582?

Answer: LCM of 7578 and 7582 is 28728198.

2. What are the Factors of 7578?

Answer: Factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578. There are 12 integers that are factors of 7578. The greatest factor of 7578 is 7578.

3. What are the Factors of 7582?

Answer: Factors of 7582 are 1, 2, 17, 34, 223, 446, 3791, 7582. There are 8 integers that are factors of 7582. The greatest factor of 7582 is 7582.

4. How to Find the LCM of 7578 and 7582?

Answer:

Least Common Multiple of 7578 and 7582 = 28728198

Step 1: Find the prime factorization of 7578

7578 = 2 x 3 x 3 x 421

Step 2: Find the prime factorization of 7582

7582 = 2 x 17 x 223

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

LCM = 28728198 = 2 x 3 x 3 x 17 x 223 x 421

Step 4: Therefore, the least common multiple of 7578 and 7582 is 28728198.