Least Common Multiple of 1517 and 1520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1517 and 1520 the smallest integer that is 2305840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1517 and 1520 is 2305840.

LCM(1517,1520) = 2305840

LCM of 1517 and 1520

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

LCM of:
and

Least Common Multiple of 1517 and 1520

LCM of 1517 and 1520 is 2305840

Least common multiple can be found by multiplying the highest exponent prime factors of 1517 and 1520. First we will calculate the prime factors of 1517 and 1520.

Prime Factorization of 1517


37 1517
41 41
1

Prime factors of 1517 are 37,41. Prime factorization of 1517 in exponential form is:

1517 = 371×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1517 and 1520.

LCM(1517,1520) = 24×51×191×371×411
LCM(1517,1520) = 2305840

Factors of 1517

List of positive integer factors of 1517 that divides 1517 without a remainder.

1, 37, 41, 1517

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

Least Common Multiple of 1517 and 1520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1517 and 1520, than apply into the LCM equation.

GCF(1517,1520) = 1
LCM(1517,1520) = ( 1517 × 1520) / 1
LCM(1517,1520) = 2305840 / 1
LCM(1517,1520) = 2305840

Properties of LCM 1517 and 1520

(i) The LCM of 1520 and 1517 is associative

LCM of 1517 and 1520 = LCM of 1520 and 1517

Related Least Common Multiples of 1517

Related Least Common Multiples of 1520

Frequently Asked Questions on LCM of 1517 and 1520

1. What is the LCM of 1517 and 1520?

Answer: LCM of 1517 and 1520 is 2305840.

2. What are the Factors of 1517?

Answer: Factors of 1517 are 1, 37, 41, 1517. There are 4 integers that are factors of 1517. The greatest factor of 1517 is 1517.

3. 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.

4. How to Find the LCM of 1517 and 1520?

Answer:

Least Common Multiple of 1517 and 1520 = 2305840

Step 1: Find the prime factorization of 1517

1517 = 37 x 41

Step 2: Find the prime factorization of 1520

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

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

LCM = 2305840 = 2 x 2 x 2 x 2 x 5 x 19 x 37 x 41

Step 4: Therefore, the least common multiple of 1517 and 1520 is 2305840.