Least Common Multiple of 2520 and 2527

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 2527 the smallest integer that is 909720 that is divisible by both numbers.

Least Common Multiple (LCM) of 2520 and 2527 is 909720.

LCM(2520,2527) = 909720

LCM of 2520 and 2527

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

LCM of:
and

Least Common Multiple of 2520 and 2527

LCM of 2520 and 2527 is 909720

Least common multiple can be found by multiplying the highest exponent prime factors of 2520 and 2527. First we will calculate the prime factors of 2520 and 2527.

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 2527


7 2527
19 361
19 19
1

Prime factors of 2527 are 7,19. Prime factorization of 2527 in exponential form is:

2527 = 71×192

Now multiplying the highest exponent prime factors to calculate the LCM of 2520 and 2527.

LCM(2520,2527) = 23×32×51×71×192
LCM(2520,2527) = 909720

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 2527

List of positive integer factors of 2527 that divides 2527 without a remainder.

1, 7, 19, 133, 361, 2527

Least Common Multiple of 2520 and 2527 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 2527, than apply into the LCM equation.

GCF(2520,2527) = 7
LCM(2520,2527) = ( 2520 × 2527) / 7
LCM(2520,2527) = 6368040 / 7
LCM(2520,2527) = 909720

Properties of LCM 2520 and 2527

(i) The LCM of 2527 and 2520 is associative

LCM of 2520 and 2527 = LCM of 2527 and 2520

Related Least Common Multiples of 2520

Related Least Common Multiples of 2527

Frequently Asked Questions on LCM of 2520 and 2527

1. What is the LCM of 2520 and 2527?

Answer: LCM of 2520 and 2527 is 909720.

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 2527?

Answer: Factors of 2527 are 1, 7, 19, 133, 361, 2527. There are 6 integers that are factors of 2527. The greatest factor of 2527 is 2527.

4. How to Find the LCM of 2520 and 2527?

Answer:

Least Common Multiple of 2520 and 2527 = 909720

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 2527

2527 = 7 x 19 x 19

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

LCM = 909720 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 19

Step 4: Therefore, the least common multiple of 2520 and 2527 is 909720.