Least Common Multiple of 1520 and 1527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1520 and 1527 the smallest integer that is 2321040 that is divisible by both numbers.

Least Common Multiple (LCM) of 1520 and 1527 is 2321040.

LCM(1520,1527) = 2321040

LCM of 1520 and 1527

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

LCM of:
and

Least Common Multiple of 1520 and 1527

LCM of 1520 and 1527 is 2321040

Least common multiple can be found by multiplying the highest exponent prime factors of 1520 and 1527. First we will calculate the prime factors of 1520 and 1527.

Prime Factorization of 1520


2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 1520 are 2, 5,19. Prime factorization of 1520 in exponential form is:

1520 = 24×51×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1520 and 1527.

LCM(1520,1527) = 24×31×51×191×5091
LCM(1520,1527) = 2321040

Factors of 1520

List of positive integer factors of 1520 that divides 1520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520

Factors of 1527

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

1, 3, 509, 1527

Least Common Multiple of 1520 and 1527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1520 and 1527, than apply into the LCM equation.

GCF(1520,1527) = 1
LCM(1520,1527) = ( 1520 × 1527) / 1
LCM(1520,1527) = 2321040 / 1
LCM(1520,1527) = 2321040

Properties of LCM 1520 and 1527

(i) The LCM of 1527 and 1520 is associative

LCM of 1520 and 1527 = LCM of 1527 and 1520

Related Least Common Multiples of 1520

Related Least Common Multiples of 1527

Frequently Asked Questions on LCM of 1520 and 1527

1. What is the LCM of 1520 and 1527?

Answer: LCM of 1520 and 1527 is 2321040.

2. What are the Factors of 1520?

Answer: Factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520. There are 20 integers that are factors of 1520. The greatest factor of 1520 is 1520.

3. 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.

4. How to Find the LCM of 1520 and 1527?

Answer:

Least Common Multiple of 1520 and 1527 = 2321040

Step 1: Find the prime factorization of 1520

1520 = 2 x 2 x 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 1527

1527 = 3 x 509

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

LCM = 2321040 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 509

Step 4: Therefore, the least common multiple of 1520 and 1527 is 2321040.