Least Common Multiple of 1517 and 1523

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 1523 the smallest integer that is 2310391 that is divisible by both numbers.

Least Common Multiple (LCM) of 1517 and 1523 is 2310391.

LCM(1517,1523) = 2310391

LCM of 1517 and 1523

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

LCM of:
and

Least Common Multiple of 1517 and 1523

LCM of 1517 and 1523 is 2310391

Least common multiple can be found by multiplying the highest exponent prime factors of 1517 and 1523. First we will calculate the prime factors of 1517 and 1523.

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 1523


1523 1523
1

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

1523 = 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 1517 and 1523.

LCM(1517,1523) = 371×411×15231
LCM(1517,1523) = 2310391

Factors of 1517

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

1, 37, 41, 1517

Factors of 1523

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

1, 1523

Least Common Multiple of 1517 and 1523 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 1523, than apply into the LCM equation.

GCF(1517,1523) = 1
LCM(1517,1523) = ( 1517 × 1523) / 1
LCM(1517,1523) = 2310391 / 1
LCM(1517,1523) = 2310391

Properties of LCM 1517 and 1523

(i) The LCM of 1523 and 1517 is associative

LCM of 1517 and 1523 = LCM of 1523 and 1517

Related Least Common Multiples of 1517

Related Least Common Multiples of 1523

Frequently Asked Questions on LCM of 1517 and 1523

1. What is the LCM of 1517 and 1523?

Answer: LCM of 1517 and 1523 is 2310391.

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 1523?

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

4. How to Find the LCM of 1517 and 1523?

Answer:

Least Common Multiple of 1517 and 1523 = 2310391

Step 1: Find the prime factorization of 1517

1517 = 37 x 41

Step 2: Find the prime factorization of 1523

1523 = 1523

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

LCM = 2310391 = 37 x 41 x 1523

Step 4: Therefore, the least common multiple of 1517 and 1523 is 2310391.