Least Common Multiple of 1517 and 1522

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 1522 the smallest integer that is 2308874 that is divisible by both numbers.

Least Common Multiple (LCM) of 1517 and 1522 is 2308874.

LCM(1517,1522) = 2308874

LCM of 1517 and 1522

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

LCM of:
and

Least Common Multiple of 1517 and 1522

LCM of 1517 and 1522 is 2308874

Least common multiple can be found by multiplying the highest exponent prime factors of 1517 and 1522. First we will calculate the prime factors of 1517 and 1522.

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 1522


2 1522
761 761
1

Prime factors of 1522 are 2,761. Prime factorization of 1522 in exponential form is:

1522 = 21×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 1517 and 1522.

LCM(1517,1522) = 21×371×411×7611
LCM(1517,1522) = 2308874

Factors of 1517

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

1, 37, 41, 1517

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1, 2, 761, 1522

Least Common Multiple of 1517 and 1522 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 1522, than apply into the LCM equation.

GCF(1517,1522) = 1
LCM(1517,1522) = ( 1517 × 1522) / 1
LCM(1517,1522) = 2308874 / 1
LCM(1517,1522) = 2308874

Properties of LCM 1517 and 1522

(i) The LCM of 1522 and 1517 is associative

LCM of 1517 and 1522 = LCM of 1522 and 1517

Related Least Common Multiples of 1517

Related Least Common Multiples of 1522

Frequently Asked Questions on LCM of 1517 and 1522

1. What is the LCM of 1517 and 1522?

Answer: LCM of 1517 and 1522 is 2308874.

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 1522?

Answer: Factors of 1522 are 1, 2, 761, 1522. There are 4 integers that are factors of 1522. The greatest factor of 1522 is 1522.

4. How to Find the LCM of 1517 and 1522?

Answer:

Least Common Multiple of 1517 and 1522 = 2308874

Step 1: Find the prime factorization of 1517

1517 = 37 x 41

Step 2: Find the prime factorization of 1522

1522 = 2 x 761

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

LCM = 2308874 = 2 x 37 x 41 x 761

Step 4: Therefore, the least common multiple of 1517 and 1522 is 2308874.