Least Common Multiple of 2518 and 2523

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 2523 the smallest integer that is 6352914 that is divisible by both numbers.

Least Common Multiple (LCM) of 2518 and 2523 is 6352914.

LCM(2518,2523) = 6352914

LCM of 2518 and 2523

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

LCM of:
and

Least Common Multiple of 2518 and 2523

LCM of 2518 and 2523 is 6352914

Least common multiple can be found by multiplying the highest exponent prime factors of 2518 and 2523. First we will calculate the prime factors of 2518 and 2523.

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 2523


3 2523
29 841
29 29
1

Prime factors of 2523 are 3,29. Prime factorization of 2523 in exponential form is:

2523 = 31×292

Now multiplying the highest exponent prime factors to calculate the LCM of 2518 and 2523.

LCM(2518,2523) = 21×31×292×12591
LCM(2518,2523) = 6352914

Factors of 2518

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

1, 2, 1259, 2518

Factors of 2523

List of positive integer factors of 2523 that divides 2523 without a remainder.

1, 3, 29, 87, 841, 2523

Least Common Multiple of 2518 and 2523 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 2523, than apply into the LCM equation.

GCF(2518,2523) = 1
LCM(2518,2523) = ( 2518 × 2523) / 1
LCM(2518,2523) = 6352914 / 1
LCM(2518,2523) = 6352914

Properties of LCM 2518 and 2523

(i) The LCM of 2523 and 2518 is associative

LCM of 2518 and 2523 = LCM of 2523 and 2518

Related Least Common Multiples of 2518

Related Least Common Multiples of 2523

Frequently Asked Questions on LCM of 2518 and 2523

1. What is the LCM of 2518 and 2523?

Answer: LCM of 2518 and 2523 is 6352914.

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 2523?

Answer: Factors of 2523 are 1, 3, 29, 87, 841, 2523. There are 6 integers that are factors of 2523. The greatest factor of 2523 is 2523.

4. How to Find the LCM of 2518 and 2523?

Answer:

Least Common Multiple of 2518 and 2523 = 6352914

Step 1: Find the prime factorization of 2518

2518 = 2 x 1259

Step 2: Find the prime factorization of 2523

2523 = 3 x 29 x 29

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

LCM = 6352914 = 2 x 3 x 29 x 29 x 1259

Step 4: Therefore, the least common multiple of 2518 and 2523 is 6352914.