Least Common Multiple of 2512 and 2520

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 2520 the smallest integer that is 791280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2512 and 2520 is 791280.

LCM(2512,2520) = 791280

LCM of 2512 and 2520

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

LCM of:
and

Least Common Multiple of 2512 and 2520

LCM of 2512 and 2520 is 791280

Least common multiple can be found by multiplying the highest exponent prime factors of 2512 and 2520. First we will calculate the prime factors of 2512 and 2520.

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 2520


2 2520
2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 2520 are 2, 3, 5,7. Prime factorization of 2520 in exponential form is:

2520 = 23×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 2512 and 2520.

LCM(2512,2520) = 24×32×51×71×1571
LCM(2512,2520) = 791280

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 2520

List of positive integer factors of 2520 that divides 2520 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520

Least Common Multiple of 2512 and 2520 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 2520, than apply into the LCM equation.

GCF(2512,2520) = 8
LCM(2512,2520) = ( 2512 × 2520) / 8
LCM(2512,2520) = 6330240 / 8
LCM(2512,2520) = 791280

Properties of LCM 2512 and 2520

(i) The LCM of 2520 and 2512 is associative

LCM of 2512 and 2520 = LCM of 2520 and 2512

Related Least Common Multiples of 2512

Related Least Common Multiples of 2520

Frequently Asked Questions on LCM of 2512 and 2520

1. What is the LCM of 2512 and 2520?

Answer: LCM of 2512 and 2520 is 791280.

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 2520?

Answer: Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520. There are 48 integers that are factors of 2520. The greatest factor of 2520 is 2520.

4. How to Find the LCM of 2512 and 2520?

Answer:

Least Common Multiple of 2512 and 2520 = 791280

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 2520

2520 = 2 x 2 x 2 x 3 x 3 x 5 x 7

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

LCM = 791280 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 157

Step 4: Therefore, the least common multiple of 2512 and 2520 is 791280.