Least Common Multiple of 7530 and 7537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7530 and 7537 the smallest integer that is 56753610 that is divisible by both numbers.

Least Common Multiple (LCM) of 7530 and 7537 is 56753610.

LCM(7530,7537) = 56753610

LCM of 7530 and 7537

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

LCM of:
and

Least Common Multiple of 7530 and 7537

LCM of 7530 and 7537 is 56753610

Least common multiple can be found by multiplying the highest exponent prime factors of 7530 and 7537. First we will calculate the prime factors of 7530 and 7537.

Prime Factorization of 7530


2 7530
3 3765
5 1255
251 251
1

Prime factors of 7530 are 2, 3, 5,251. Prime factorization of 7530 in exponential form is:

7530 = 21×31×51×2511

Prime Factorization of 7537


7537 7537
1

Prime factors of 7537 are 7537. Prime factorization of 7537 in exponential form is:

7537 = 75371

Now multiplying the highest exponent prime factors to calculate the LCM of 7530 and 7537.

LCM(7530,7537) = 21×31×51×2511×75371
LCM(7530,7537) = 56753610

Factors of 7530

List of positive integer factors of 7530 that divides 7530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530

Factors of 7537

List of positive integer factors of 7537 that divides 7537 without a remainder.

1, 7537

Least Common Multiple of 7530 and 7537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7530 and 7537, than apply into the LCM equation.

GCF(7530,7537) = 1
LCM(7530,7537) = ( 7530 × 7537) / 1
LCM(7530,7537) = 56753610 / 1
LCM(7530,7537) = 56753610

Properties of LCM 7530 and 7537

(i) The LCM of 7537 and 7530 is associative

LCM of 7530 and 7537 = LCM of 7537 and 7530

Related Least Common Multiples of 7530

Related Least Common Multiples of 7537

Frequently Asked Questions on LCM of 7530 and 7537

1. What is the LCM of 7530 and 7537?

Answer: LCM of 7530 and 7537 is 56753610.

2. What are the Factors of 7530?

Answer: Factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530. There are 16 integers that are factors of 7530. The greatest factor of 7530 is 7530.

3. What are the Factors of 7537?

Answer: Factors of 7537 are 1, 7537. There are 2 integers that are factors of 7537. The greatest factor of 7537 is 7537.

4. How to Find the LCM of 7530 and 7537?

Answer:

Least Common Multiple of 7530 and 7537 = 56753610

Step 1: Find the prime factorization of 7530

7530 = 2 x 3 x 5 x 251

Step 2: Find the prime factorization of 7537

7537 = 7537

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

LCM = 56753610 = 2 x 3 x 5 x 251 x 7537

Step 4: Therefore, the least common multiple of 7530 and 7537 is 56753610.