Least Common Multiple of 7574 and 7578

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 7578 the smallest integer that is 28697886 that is divisible by both numbers.

Least Common Multiple (LCM) of 7574 and 7578 is 28697886.

LCM(7574,7578) = 28697886

LCM of 7574 and 7578

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

LCM of:
and

Least Common Multiple of 7574 and 7578

LCM of 7574 and 7578 is 28697886

Least common multiple can be found by multiplying the highest exponent prime factors of 7574 and 7578. First we will calculate the prime factors of 7574 and 7578.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7574 and 7578.

LCM(7574,7578) = 21×32×71×4211×5411
LCM(7574,7578) = 28697886

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 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

Least Common Multiple of 7574 and 7578 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 7578, than apply into the LCM equation.

GCF(7574,7578) = 2
LCM(7574,7578) = ( 7574 × 7578) / 2
LCM(7574,7578) = 57395772 / 2
LCM(7574,7578) = 28697886

Properties of LCM 7574 and 7578

(i) The LCM of 7578 and 7574 is associative

LCM of 7574 and 7578 = LCM of 7578 and 7574

Related Least Common Multiples of 7574

Related Least Common Multiples of 7578

Frequently Asked Questions on LCM of 7574 and 7578

1. What is the LCM of 7574 and 7578?

Answer: LCM of 7574 and 7578 is 28697886.

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 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.

4. How to Find the LCM of 7574 and 7578?

Answer:

Least Common Multiple of 7574 and 7578 = 28697886

Step 1: Find the prime factorization of 7574

7574 = 2 x 7 x 541

Step 2: Find the prime factorization of 7578

7578 = 2 x 3 x 3 x 421

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

LCM = 28697886 = 2 x 3 x 3 x 7 x 421 x 541

Step 4: Therefore, the least common multiple of 7574 and 7578 is 28697886.