Least Common Multiple of 1530 and 1537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1530 and 1537 the smallest integer that is 2351610 that is divisible by both numbers.

Least Common Multiple (LCM) of 1530 and 1537 is 2351610.

LCM(1530,1537) = 2351610

LCM of 1530 and 1537

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

LCM of:
and

Least Common Multiple of 1530 and 1537

LCM of 1530 and 1537 is 2351610

Least common multiple can be found by multiplying the highest exponent prime factors of 1530 and 1537. First we will calculate the prime factors of 1530 and 1537.

Prime Factorization of 1530


2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 1530 are 2, 3, 5,17. Prime factorization of 1530 in exponential form is:

1530 = 21×32×51×171

Prime Factorization of 1537


29 1537
53 53
1

Prime factors of 1537 are 29,53. Prime factorization of 1537 in exponential form is:

1537 = 291×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1530 and 1537.

LCM(1530,1537) = 21×32×51×171×291×531
LCM(1530,1537) = 2351610

Factors of 1530

List of positive integer factors of 1530 that divides 1530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530

Factors of 1537

List of positive integer factors of 1537 that divides 1537 without a remainder.

1, 29, 53, 1537

Least Common Multiple of 1530 and 1537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1530 and 1537, than apply into the LCM equation.

GCF(1530,1537) = 1
LCM(1530,1537) = ( 1530 × 1537) / 1
LCM(1530,1537) = 2351610 / 1
LCM(1530,1537) = 2351610

Properties of LCM 1530 and 1537

(i) The LCM of 1537 and 1530 is associative

LCM of 1530 and 1537 = LCM of 1537 and 1530

Related Least Common Multiples of 1530

Related Least Common Multiples of 1537

Frequently Asked Questions on LCM of 1530 and 1537

1. What is the LCM of 1530 and 1537?

Answer: LCM of 1530 and 1537 is 2351610.

2. What are the Factors of 1530?

Answer: Factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530. There are 24 integers that are factors of 1530. The greatest factor of 1530 is 1530.

3. What are the Factors of 1537?

Answer: Factors of 1537 are 1, 29, 53, 1537. There are 4 integers that are factors of 1537. The greatest factor of 1537 is 1537.

4. How to Find the LCM of 1530 and 1537?

Answer:

Least Common Multiple of 1530 and 1537 = 2351610

Step 1: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

Step 2: Find the prime factorization of 1537

1537 = 29 x 53

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

LCM = 2351610 = 2 x 3 x 3 x 5 x 17 x 29 x 53

Step 4: Therefore, the least common multiple of 1530 and 1537 is 2351610.