Least Common Multiple of 2514 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 2514 and 2520 the smallest integer that is 1055880 that is divisible by both numbers.

Least Common Multiple (LCM) of 2514 and 2520 is 1055880.

LCM(2514,2520) = 1055880

LCM of 2514 and 2520

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

LCM of:
and

Least Common Multiple of 2514 and 2520

LCM of 2514 and 2520 is 1055880

Least common multiple can be found by multiplying the highest exponent prime factors of 2514 and 2520. First we will calculate the prime factors of 2514 and 2520.

Prime Factorization of 2514


2 2514
3 1257
419 419
1

Prime factors of 2514 are 2, 3,419. Prime factorization of 2514 in exponential form is:

2514 = 21×31×4191

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 2514 and 2520.

LCM(2514,2520) = 23×32×51×71×4191
LCM(2514,2520) = 1055880

Factors of 2514

List of positive integer factors of 2514 that divides 2514 without a remainder.

1, 2, 3, 6, 419, 838, 1257, 2514

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 2514 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 2514 and 2520, than apply into the LCM equation.

GCF(2514,2520) = 6
LCM(2514,2520) = ( 2514 × 2520) / 6
LCM(2514,2520) = 6335280 / 6
LCM(2514,2520) = 1055880

Properties of LCM 2514 and 2520

(i) The LCM of 2520 and 2514 is associative

LCM of 2514 and 2520 = LCM of 2520 and 2514

Related Least Common Multiples of 2514

Related Least Common Multiples of 2520

Frequently Asked Questions on LCM of 2514 and 2520

1. What is the LCM of 2514 and 2520?

Answer: LCM of 2514 and 2520 is 1055880.

2. What are the Factors of 2514?

Answer: Factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514. There are 8 integers that are factors of 2514. The greatest factor of 2514 is 2514.

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 2514 and 2520?

Answer:

Least Common Multiple of 2514 and 2520 = 1055880

Step 1: Find the prime factorization of 2514

2514 = 2 x 3 x 419

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 = 1055880 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 419

Step 4: Therefore, the least common multiple of 2514 and 2520 is 1055880.