Least Common Multiple of 2520 and 2528

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 2528 the smallest integer that is 796320 that is divisible by both numbers.

Least Common Multiple (LCM) of 2520 and 2528 is 796320.

LCM(2520,2528) = 796320

LCM of 2520 and 2528

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

LCM of:
and

Least Common Multiple of 2520 and 2528

LCM of 2520 and 2528 is 796320

Least common multiple can be found by multiplying the highest exponent prime factors of 2520 and 2528. First we will calculate the prime factors of 2520 and 2528.

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 2528


2 2528
2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 2528 are 2,79. Prime factorization of 2528 in exponential form is:

2528 = 25×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2520 and 2528.

LCM(2520,2528) = 25×32×51×71×791
LCM(2520,2528) = 796320

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 2528

List of positive integer factors of 2528 that divides 2528 without a remainder.

1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528

Least Common Multiple of 2520 and 2528 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 2528, than apply into the LCM equation.

GCF(2520,2528) = 8
LCM(2520,2528) = ( 2520 × 2528) / 8
LCM(2520,2528) = 6370560 / 8
LCM(2520,2528) = 796320

Properties of LCM 2520 and 2528

(i) The LCM of 2528 and 2520 is associative

LCM of 2520 and 2528 = LCM of 2528 and 2520

Related Least Common Multiples of 2520

Related Least Common Multiples of 2528

Frequently Asked Questions on LCM of 2520 and 2528

1. What is the LCM of 2520 and 2528?

Answer: LCM of 2520 and 2528 is 796320.

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 2528?

Answer: Factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528. There are 12 integers that are factors of 2528. The greatest factor of 2528 is 2528.

4. How to Find the LCM of 2520 and 2528?

Answer:

Least Common Multiple of 2520 and 2528 = 796320

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 2528

2528 = 2 x 2 x 2 x 2 x 2 x 79

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

LCM = 796320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 79

Step 4: Therefore, the least common multiple of 2520 and 2528 is 796320.