Least Common Multiple of 7578 and 7583

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 7583 the smallest integer that is 57463974 that is divisible by both numbers.

Least Common Multiple (LCM) of 7578 and 7583 is 57463974.

LCM(7578,7583) = 57463974

LCM of 7578 and 7583

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

LCM of:
and

Least Common Multiple of 7578 and 7583

LCM of 7578 and 7583 is 57463974

Least common multiple can be found by multiplying the highest exponent prime factors of 7578 and 7583. First we will calculate the prime factors of 7578 and 7583.

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 7583


7583 7583
1

Prime factors of 7583 are 7583. Prime factorization of 7583 in exponential form is:

7583 = 75831

Now multiplying the highest exponent prime factors to calculate the LCM of 7578 and 7583.

LCM(7578,7583) = 21×32×4211×75831
LCM(7578,7583) = 57463974

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 7583

List of positive integer factors of 7583 that divides 7583 without a remainder.

1, 7583

Least Common Multiple of 7578 and 7583 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 7583, than apply into the LCM equation.

GCF(7578,7583) = 1
LCM(7578,7583) = ( 7578 × 7583) / 1
LCM(7578,7583) = 57463974 / 1
LCM(7578,7583) = 57463974

Properties of LCM 7578 and 7583

(i) The LCM of 7583 and 7578 is associative

LCM of 7578 and 7583 = LCM of 7583 and 7578

Related Least Common Multiples of 7578

Related Least Common Multiples of 7583

Frequently Asked Questions on LCM of 7578 and 7583

1. What is the LCM of 7578 and 7583?

Answer: LCM of 7578 and 7583 is 57463974.

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 7583?

Answer: Factors of 7583 are 1, 7583. There are 2 integers that are factors of 7583. The greatest factor of 7583 is 7583.

4. How to Find the LCM of 7578 and 7583?

Answer:

Least Common Multiple of 7578 and 7583 = 57463974

Step 1: Find the prime factorization of 7578

7578 = 2 x 3 x 3 x 421

Step 2: Find the prime factorization of 7583

7583 = 7583

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

LCM = 57463974 = 2 x 3 x 3 x 421 x 7583

Step 4: Therefore, the least common multiple of 7578 and 7583 is 57463974.