Least Common Multiple of 7522 and 7527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7522 and 7527 the smallest integer that is 56618094 that is divisible by both numbers.

Least Common Multiple (LCM) of 7522 and 7527 is 56618094.

LCM(7522,7527) = 56618094

LCM of 7522 and 7527

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

LCM of:
and

Least Common Multiple of 7522 and 7527

LCM of 7522 and 7527 is 56618094

Least common multiple can be found by multiplying the highest exponent prime factors of 7522 and 7527. First we will calculate the prime factors of 7522 and 7527.

Prime Factorization of 7522


2 7522
3761 3761
1

Prime factors of 7522 are 2,3761. Prime factorization of 7522 in exponential form is:

7522 = 21×37611

Prime Factorization of 7527


3 7527
13 2509
193 193
1

Prime factors of 7527 are 3, 13,193. Prime factorization of 7527 in exponential form is:

7527 = 31×131×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 7522 and 7527.

LCM(7522,7527) = 21×31×131×1931×37611
LCM(7522,7527) = 56618094

Factors of 7522

List of positive integer factors of 7522 that divides 7522 without a remainder.

1, 2, 3761, 7522

Factors of 7527

List of positive integer factors of 7527 that divides 7527 without a remainder.

1, 3, 13, 39, 193, 579, 2509, 7527

Least Common Multiple of 7522 and 7527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7522 and 7527, than apply into the LCM equation.

GCF(7522,7527) = 1
LCM(7522,7527) = ( 7522 × 7527) / 1
LCM(7522,7527) = 56618094 / 1
LCM(7522,7527) = 56618094

Properties of LCM 7522 and 7527

(i) The LCM of 7527 and 7522 is associative

LCM of 7522 and 7527 = LCM of 7527 and 7522

Related Least Common Multiples of 7522

Related Least Common Multiples of 7527

Frequently Asked Questions on LCM of 7522 and 7527

1. What is the LCM of 7522 and 7527?

Answer: LCM of 7522 and 7527 is 56618094.

2. What are the Factors of 7522?

Answer: Factors of 7522 are 1, 2, 3761, 7522. There are 4 integers that are factors of 7522. The greatest factor of 7522 is 7522.

3. What are the Factors of 7527?

Answer: Factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527. There are 8 integers that are factors of 7527. The greatest factor of 7527 is 7527.

4. How to Find the LCM of 7522 and 7527?

Answer:

Least Common Multiple of 7522 and 7527 = 56618094

Step 1: Find the prime factorization of 7522

7522 = 2 x 3761

Step 2: Find the prime factorization of 7527

7527 = 3 x 13 x 193

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

LCM = 56618094 = 2 x 3 x 13 x 193 x 3761

Step 4: Therefore, the least common multiple of 7522 and 7527 is 56618094.