Least Common Multiple of 7527 and 7533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7527 and 7533 the smallest integer that is 18900297 that is divisible by both numbers.

Least Common Multiple (LCM) of 7527 and 7533 is 18900297.

LCM(7527,7533) = 18900297

LCM of 7527 and 7533

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

LCM of:
and

Least Common Multiple of 7527 and 7533

LCM of 7527 and 7533 is 18900297

Least common multiple can be found by multiplying the highest exponent prime factors of 7527 and 7533. First we will calculate the prime factors of 7527 and 7533.

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

Prime Factorization of 7533


3 7533
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 7533 are 3,31. Prime factorization of 7533 in exponential form is:

7533 = 35×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7527 and 7533.

LCM(7527,7533) = 35×131×311×1931
LCM(7527,7533) = 18900297

Factors of 7527

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

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

Factors of 7533

List of positive integer factors of 7533 that divides 7533 without a remainder.

1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533

Least Common Multiple of 7527 and 7533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7527 and 7533, than apply into the LCM equation.

GCF(7527,7533) = 3
LCM(7527,7533) = ( 7527 × 7533) / 3
LCM(7527,7533) = 56700891 / 3
LCM(7527,7533) = 18900297

Properties of LCM 7527 and 7533

(i) The LCM of 7533 and 7527 is associative

LCM of 7527 and 7533 = LCM of 7533 and 7527

Related Least Common Multiples of 7527

Related Least Common Multiples of 7533

Frequently Asked Questions on LCM of 7527 and 7533

1. What is the LCM of 7527 and 7533?

Answer: LCM of 7527 and 7533 is 18900297.

2. 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.

3. What are the Factors of 7533?

Answer: Factors of 7533 are 1, 3, 9, 27, 31, 81, 93, 243, 279, 837, 2511, 7533. There are 12 integers that are factors of 7533. The greatest factor of 7533 is 7533.

4. How to Find the LCM of 7527 and 7533?

Answer:

Least Common Multiple of 7527 and 7533 = 18900297

Step 1: Find the prime factorization of 7527

7527 = 3 x 13 x 193

Step 2: Find the prime factorization of 7533

7533 = 3 x 3 x 3 x 3 x 3 x 31

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

LCM = 18900297 = 3 x 3 x 3 x 3 x 3 x 13 x 31 x 193

Step 4: Therefore, the least common multiple of 7527 and 7533 is 18900297.