Least Common Multiple of 1523 and 1530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1523 and 1530 the smallest integer that is 2330190 that is divisible by both numbers.

Least Common Multiple (LCM) of 1523 and 1530 is 2330190.

LCM(1523,1530) = 2330190

LCM of 1523 and 1530

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

LCM of:
and

Least Common Multiple of 1523 and 1530

LCM of 1523 and 1530 is 2330190

Least common multiple can be found by multiplying the highest exponent prime factors of 1523 and 1530. First we will calculate the prime factors of 1523 and 1530.

Prime Factorization of 1523


1523 1523
1

Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:

1523 = 15231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1523 and 1530.

LCM(1523,1530) = 21×32×51×171×15231
LCM(1523,1530) = 2330190

Factors of 1523

List of positive integer factors of 1523 that divides 1523 without a remainder.

1, 1523

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

Least Common Multiple of 1523 and 1530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1523 and 1530, than apply into the LCM equation.

GCF(1523,1530) = 1
LCM(1523,1530) = ( 1523 × 1530) / 1
LCM(1523,1530) = 2330190 / 1
LCM(1523,1530) = 2330190

Properties of LCM 1523 and 1530

(i) The LCM of 1530 and 1523 is associative

LCM of 1523 and 1530 = LCM of 1530 and 1523

Related Least Common Multiples of 1523

Related Least Common Multiples of 1530

Frequently Asked Questions on LCM of 1523 and 1530

1. What is the LCM of 1523 and 1530?

Answer: LCM of 1523 and 1530 is 2330190.

2. What are the Factors of 1523?

Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.

3. 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.

4. How to Find the LCM of 1523 and 1530?

Answer:

Least Common Multiple of 1523 and 1530 = 2330190

Step 1: Find the prime factorization of 1523

1523 = 1523

Step 2: Find the prime factorization of 1530

1530 = 2 x 3 x 3 x 5 x 17

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

LCM = 2330190 = 2 x 3 x 3 x 5 x 17 x 1523

Step 4: Therefore, the least common multiple of 1523 and 1530 is 2330190.