Least Common Multiple of 1527 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 1527 and 1530 the smallest integer that is 778770 that is divisible by both numbers.

Least Common Multiple (LCM) of 1527 and 1530 is 778770.

LCM(1527,1530) = 778770

LCM of 1527 and 1530

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

LCM of:
and

Least Common Multiple of 1527 and 1530

LCM of 1527 and 1530 is 778770

Least common multiple can be found by multiplying the highest exponent prime factors of 1527 and 1530. First we will calculate the prime factors of 1527 and 1530.

Prime Factorization of 1527


3 1527
509 509
1

Prime factors of 1527 are 3,509. Prime factorization of 1527 in exponential form is:

1527 = 31×5091

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 1527 and 1530.

LCM(1527,1530) = 21×32×51×171×5091
LCM(1527,1530) = 778770

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1, 3, 509, 1527

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 1527 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 1527 and 1530, than apply into the LCM equation.

GCF(1527,1530) = 3
LCM(1527,1530) = ( 1527 × 1530) / 3
LCM(1527,1530) = 2336310 / 3
LCM(1527,1530) = 778770

Properties of LCM 1527 and 1530

(i) The LCM of 1530 and 1527 is associative

LCM of 1527 and 1530 = LCM of 1530 and 1527

Related Least Common Multiples of 1527

Related Least Common Multiples of 1530

Frequently Asked Questions on LCM of 1527 and 1530

1. What is the LCM of 1527 and 1530?

Answer: LCM of 1527 and 1530 is 778770.

2. What are the Factors of 1527?

Answer: Factors of 1527 are 1, 3, 509, 1527. There are 4 integers that are factors of 1527. The greatest factor of 1527 is 1527.

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 1527 and 1530?

Answer:

Least Common Multiple of 1527 and 1530 = 778770

Step 1: Find the prime factorization of 1527

1527 = 3 x 509

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 = 778770 = 2 x 3 x 3 x 5 x 17 x 509

Step 4: Therefore, the least common multiple of 1527 and 1530 is 778770.