Least Common Multiple of 2518 and 2522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2518 and 2522 the smallest integer that is 3175198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2518 and 2522 is 3175198.

LCM(2518,2522) = 3175198

LCM of 2518 and 2522

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

LCM of:
and

Least Common Multiple of 2518 and 2522

LCM of 2518 and 2522 is 3175198

Least common multiple can be found by multiplying the highest exponent prime factors of 2518 and 2522. First we will calculate the prime factors of 2518 and 2522.

Prime Factorization of 2518


2 2518
1259 1259
1

Prime factors of 2518 are 2,1259. Prime factorization of 2518 in exponential form is:

2518 = 21×12591

Prime Factorization of 2522


2 2522
13 1261
97 97
1

Prime factors of 2522 are 2, 13,97. Prime factorization of 2522 in exponential form is:

2522 = 21×131×971

Now multiplying the highest exponent prime factors to calculate the LCM of 2518 and 2522.

LCM(2518,2522) = 21×131×971×12591
LCM(2518,2522) = 3175198

Factors of 2518

List of positive integer factors of 2518 that divides 2518 without a remainder.

1, 2, 1259, 2518

Factors of 2522

List of positive integer factors of 2522 that divides 2522 without a remainder.

1, 2, 13, 26, 97, 194, 1261, 2522

Least Common Multiple of 2518 and 2522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2518 and 2522, than apply into the LCM equation.

GCF(2518,2522) = 2
LCM(2518,2522) = ( 2518 × 2522) / 2
LCM(2518,2522) = 6350396 / 2
LCM(2518,2522) = 3175198

Properties of LCM 2518 and 2522

(i) The LCM of 2522 and 2518 is associative

LCM of 2518 and 2522 = LCM of 2522 and 2518

Related Least Common Multiples of 2518

Related Least Common Multiples of 2522

Frequently Asked Questions on LCM of 2518 and 2522

1. What is the LCM of 2518 and 2522?

Answer: LCM of 2518 and 2522 is 3175198.

2. What are the Factors of 2518?

Answer: Factors of 2518 are 1, 2, 1259, 2518. There are 4 integers that are factors of 2518. The greatest factor of 2518 is 2518.

3. What are the Factors of 2522?

Answer: Factors of 2522 are 1, 2, 13, 26, 97, 194, 1261, 2522. There are 8 integers that are factors of 2522. The greatest factor of 2522 is 2522.

4. How to Find the LCM of 2518 and 2522?

Answer:

Least Common Multiple of 2518 and 2522 = 3175198

Step 1: Find the prime factorization of 2518

2518 = 2 x 1259

Step 2: Find the prime factorization of 2522

2522 = 2 x 13 x 97

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

LCM = 3175198 = 2 x 13 x 97 x 1259

Step 4: Therefore, the least common multiple of 2518 and 2522 is 3175198.