Least Common Multiple of 1530 and 1531

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 1531 the smallest integer that is 2342430 that is divisible by both numbers.

Least Common Multiple (LCM) of 1530 and 1531 is 2342430.

LCM(1530,1531) = 2342430

LCM of 1530 and 1531

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

LCM of:
and

Least Common Multiple of 1530 and 1531

LCM of 1530 and 1531 is 2342430

Least common multiple can be found by multiplying the highest exponent prime factors of 1530 and 1531. First we will calculate the prime factors of 1530 and 1531.

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 1531


1531 1531
1

Prime factors of 1531 are 1531. Prime factorization of 1531 in exponential form is:

1531 = 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 1530 and 1531.

LCM(1530,1531) = 21×32×51×171×15311
LCM(1530,1531) = 2342430

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 1531

List of positive integer factors of 1531 that divides 1531 without a remainder.

1, 1531

Least Common Multiple of 1530 and 1531 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 1531, than apply into the LCM equation.

GCF(1530,1531) = 1
LCM(1530,1531) = ( 1530 × 1531) / 1
LCM(1530,1531) = 2342430 / 1
LCM(1530,1531) = 2342430

Properties of LCM 1530 and 1531

(i) The LCM of 1531 and 1530 is associative

LCM of 1530 and 1531 = LCM of 1531 and 1530

Related Least Common Multiples of 1530

Related Least Common Multiples of 1531

Frequently Asked Questions on LCM of 1530 and 1531

1. What is the LCM of 1530 and 1531?

Answer: LCM of 1530 and 1531 is 2342430.

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 1531?

Answer: Factors of 1531 are 1, 1531. There are 2 integers that are factors of 1531. The greatest factor of 1531 is 1531.

4. How to Find the LCM of 1530 and 1531?

Answer:

Least Common Multiple of 1530 and 1531 = 2342430

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 1531

1531 = 1531

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

LCM = 2342430 = 2 x 3 x 3 x 5 x 17 x 1531

Step 4: Therefore, the least common multiple of 1530 and 1531 is 2342430.