Least Common Multiple of 2528 and 2535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2528 and 2535 the smallest integer that is 6408480 that is divisible by both numbers.

Least Common Multiple (LCM) of 2528 and 2535 is 6408480.

LCM(2528,2535) = 6408480

LCM of 2528 and 2535

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

LCM of:
and

Least Common Multiple of 2528 and 2535

LCM of 2528 and 2535 is 6408480

Least common multiple can be found by multiplying the highest exponent prime factors of 2528 and 2535. First we will calculate the prime factors of 2528 and 2535.

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

Prime Factorization of 2535


3 2535
5 845
13 169
13 13
1

Prime factors of 2535 are 3, 5,13. Prime factorization of 2535 in exponential form is:

2535 = 31×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2528 and 2535.

LCM(2528,2535) = 25×31×51×132×791
LCM(2528,2535) = 6408480

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

Factors of 2535

List of positive integer factors of 2535 that divides 2535 without a remainder.

1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535

Least Common Multiple of 2528 and 2535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2528 and 2535, than apply into the LCM equation.

GCF(2528,2535) = 1
LCM(2528,2535) = ( 2528 × 2535) / 1
LCM(2528,2535) = 6408480 / 1
LCM(2528,2535) = 6408480

Properties of LCM 2528 and 2535

(i) The LCM of 2535 and 2528 is associative

LCM of 2528 and 2535 = LCM of 2535 and 2528

Related Least Common Multiples of 2528

Related Least Common Multiples of 2535

Frequently Asked Questions on LCM of 2528 and 2535

1. What is the LCM of 2528 and 2535?

Answer: LCM of 2528 and 2535 is 6408480.

2. 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.

3. What are the Factors of 2535?

Answer: Factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535. There are 12 integers that are factors of 2535. The greatest factor of 2535 is 2535.

4. How to Find the LCM of 2528 and 2535?

Answer:

Least Common Multiple of 2528 and 2535 = 6408480

Step 1: Find the prime factorization of 2528

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

Step 2: Find the prime factorization of 2535

2535 = 3 x 5 x 13 x 13

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

LCM = 6408480 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 13 x 79

Step 4: Therefore, the least common multiple of 2528 and 2535 is 6408480.