Least Common Multiple of 7577 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 7577 and 7578 the smallest integer that is 57418506 that is divisible by both numbers.

Least Common Multiple (LCM) of 7577 and 7578 is 57418506.

LCM(7577,7578) = 57418506

LCM of 7577 and 7578

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

LCM of:
and

Least Common Multiple of 7577 and 7578

LCM of 7577 and 7578 is 57418506

Least common multiple can be found by multiplying the highest exponent prime factors of 7577 and 7578. First we will calculate the prime factors of 7577 and 7578.

Prime Factorization of 7577


7577 7577
1

Prime factors of 7577 are 7577. Prime factorization of 7577 in exponential form is:

7577 = 75771

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 7577 and 7578.

LCM(7577,7578) = 21×32×4211×75771
LCM(7577,7578) = 57418506

Factors of 7577

List of positive integer factors of 7577 that divides 7577 without a remainder.

1, 7577

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 7577 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 7577 and 7578, than apply into the LCM equation.

GCF(7577,7578) = 1
LCM(7577,7578) = ( 7577 × 7578) / 1
LCM(7577,7578) = 57418506 / 1
LCM(7577,7578) = 57418506

Properties of LCM 7577 and 7578

(i) The LCM of 7578 and 7577 is associative

LCM of 7577 and 7578 = LCM of 7578 and 7577

Related Least Common Multiples of 7577

Related Least Common Multiples of 7578

Frequently Asked Questions on LCM of 7577 and 7578

1. What is the LCM of 7577 and 7578?

Answer: LCM of 7577 and 7578 is 57418506.

2. What are the Factors of 7577?

Answer: Factors of 7577 are 1, 7577. There are 2 integers that are factors of 7577. The greatest factor of 7577 is 7577.

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 7577 and 7578?

Answer:

Least Common Multiple of 7577 and 7578 = 57418506

Step 1: Find the prime factorization of 7577

7577 = 7577

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 = 57418506 = 2 x 3 x 3 x 421 x 7577

Step 4: Therefore, the least common multiple of 7577 and 7578 is 57418506.