Least Common Multiple of 7574 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 7574 and 7582 the smallest integer that is 28713034 that is divisible by both numbers.

Least Common Multiple (LCM) of 7574 and 7582 is 28713034.

LCM(7574,7582) = 28713034

LCM of 7574 and 7582

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

LCM of:
and

Least Common Multiple of 7574 and 7582

LCM of 7574 and 7582 is 28713034

Least common multiple can be found by multiplying the highest exponent prime factors of 7574 and 7582. First we will calculate the prime factors of 7574 and 7582.

Prime Factorization of 7574


2 7574
7 3787
541 541
1

Prime factors of 7574 are 2, 7,541. Prime factorization of 7574 in exponential form is:

7574 = 21×71×5411

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 7574 and 7582.

LCM(7574,7582) = 21×71×171×2231×5411
LCM(7574,7582) = 28713034

Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1, 2, 7, 14, 541, 1082, 3787, 7574

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 7574 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 7574 and 7582, than apply into the LCM equation.

GCF(7574,7582) = 2
LCM(7574,7582) = ( 7574 × 7582) / 2
LCM(7574,7582) = 57426068 / 2
LCM(7574,7582) = 28713034

Properties of LCM 7574 and 7582

(i) The LCM of 7582 and 7574 is associative

LCM of 7574 and 7582 = LCM of 7582 and 7574

Related Least Common Multiples of 7574

Related Least Common Multiples of 7582

Frequently Asked Questions on LCM of 7574 and 7582

1. What is the LCM of 7574 and 7582?

Answer: LCM of 7574 and 7582 is 28713034.

2. What are the Factors of 7574?

Answer: Factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574. There are 8 integers that are factors of 7574. The greatest factor of 7574 is 7574.

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 7574 and 7582?

Answer:

Least Common Multiple of 7574 and 7582 = 28713034

Step 1: Find the prime factorization of 7574

7574 = 2 x 7 x 541

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 = 28713034 = 2 x 7 x 17 x 223 x 541

Step 4: Therefore, the least common multiple of 7574 and 7582 is 28713034.