Least Common Multiple of 2512 and 2518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2512 and 2518 the smallest integer that is 3162608 that is divisible by both numbers.

Least Common Multiple (LCM) of 2512 and 2518 is 3162608.

LCM(2512,2518) = 3162608

LCM of 2512 and 2518

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

LCM of:
and

Least Common Multiple of 2512 and 2518

LCM of 2512 and 2518 is 3162608

Least common multiple can be found by multiplying the highest exponent prime factors of 2512 and 2518. First we will calculate the prime factors of 2512 and 2518.

Prime Factorization of 2512


2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 2512 are 2,157. Prime factorization of 2512 in exponential form is:

2512 = 24×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2512 and 2518.

LCM(2512,2518) = 24×1571×12591
LCM(2512,2518) = 3162608

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512

Factors of 2518

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

1, 2, 1259, 2518

Least Common Multiple of 2512 and 2518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2512 and 2518, than apply into the LCM equation.

GCF(2512,2518) = 2
LCM(2512,2518) = ( 2512 × 2518) / 2
LCM(2512,2518) = 6325216 / 2
LCM(2512,2518) = 3162608

Properties of LCM 2512 and 2518

(i) The LCM of 2518 and 2512 is associative

LCM of 2512 and 2518 = LCM of 2518 and 2512

Related Least Common Multiples of 2512

Related Least Common Multiples of 2518

Frequently Asked Questions on LCM of 2512 and 2518

1. What is the LCM of 2512 and 2518?

Answer: LCM of 2512 and 2518 is 3162608.

2. What are the Factors of 2512?

Answer: Factors of 2512 are 1, 2, 4, 8, 16, 157, 314, 628, 1256, 2512. There are 10 integers that are factors of 2512. The greatest factor of 2512 is 2512.

3. 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.

4. How to Find the LCM of 2512 and 2518?

Answer:

Least Common Multiple of 2512 and 2518 = 3162608

Step 1: Find the prime factorization of 2512

2512 = 2 x 2 x 2 x 2 x 157

Step 2: Find the prime factorization of 2518

2518 = 2 x 1259

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

LCM = 3162608 = 2 x 2 x 2 x 2 x 157 x 1259

Step 4: Therefore, the least common multiple of 2512 and 2518 is 3162608.