Least Common Multiple of 2520 and 2524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2520 and 2524 the smallest integer that is 1590120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2520 and 2524 is 1590120.

LCM(2520,2524) = 1590120

LCM of 2520 and 2524

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

LCM of:
and

Least Common Multiple of 2520 and 2524

LCM of 2520 and 2524 is 1590120

Least common multiple can be found by multiplying the highest exponent prime factors of 2520 and 2524. First we will calculate the prime factors of 2520 and 2524.

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

Prime Factorization of 2524


2 2524
2 1262
631 631
1

Prime factors of 2524 are 2,631. Prime factorization of 2524 in exponential form is:

2524 = 22×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 2520 and 2524.

LCM(2520,2524) = 23×32×51×71×6311
LCM(2520,2524) = 1590120

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

Factors of 2524

List of positive integer factors of 2524 that divides 2524 without a remainder.

1, 2, 4, 631, 1262, 2524

Least Common Multiple of 2520 and 2524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2520 and 2524, than apply into the LCM equation.

GCF(2520,2524) = 4
LCM(2520,2524) = ( 2520 × 2524) / 4
LCM(2520,2524) = 6360480 / 4
LCM(2520,2524) = 1590120

Properties of LCM 2520 and 2524

(i) The LCM of 2524 and 2520 is associative

LCM of 2520 and 2524 = LCM of 2524 and 2520

Related Least Common Multiples of 2520

Related Least Common Multiples of 2524

Frequently Asked Questions on LCM of 2520 and 2524

1. What is the LCM of 2520 and 2524?

Answer: LCM of 2520 and 2524 is 1590120.

2. 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.

3. What are the Factors of 2524?

Answer: Factors of 2524 are 1, 2, 4, 631, 1262, 2524. There are 6 integers that are factors of 2524. The greatest factor of 2524 is 2524.

4. How to Find the LCM of 2520 and 2524?

Answer:

Least Common Multiple of 2520 and 2524 = 1590120

Step 1: Find the prime factorization of 2520

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

Step 2: Find the prime factorization of 2524

2524 = 2 x 2 x 631

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

LCM = 1590120 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 631

Step 4: Therefore, the least common multiple of 2520 and 2524 is 1590120.