Least Common Multiple of 2528 and 2533

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 2533 the smallest integer that is 6403424 that is divisible by both numbers.

Least Common Multiple (LCM) of 2528 and 2533 is 6403424.

LCM(2528,2533) = 6403424

LCM of 2528 and 2533

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

LCM of:
and

Least Common Multiple of 2528 and 2533

LCM of 2528 and 2533 is 6403424

Least common multiple can be found by multiplying the highest exponent prime factors of 2528 and 2533. First we will calculate the prime factors of 2528 and 2533.

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 2533


17 2533
149 149
1

Prime factors of 2533 are 17,149. Prime factorization of 2533 in exponential form is:

2533 = 171×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2528 and 2533.

LCM(2528,2533) = 25×171×791×1491
LCM(2528,2533) = 6403424

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 2533

List of positive integer factors of 2533 that divides 2533 without a remainder.

1, 17, 149, 2533

Least Common Multiple of 2528 and 2533 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 2533, than apply into the LCM equation.

GCF(2528,2533) = 1
LCM(2528,2533) = ( 2528 × 2533) / 1
LCM(2528,2533) = 6403424 / 1
LCM(2528,2533) = 6403424

Properties of LCM 2528 and 2533

(i) The LCM of 2533 and 2528 is associative

LCM of 2528 and 2533 = LCM of 2533 and 2528

Related Least Common Multiples of 2528

Related Least Common Multiples of 2533

Frequently Asked Questions on LCM of 2528 and 2533

1. What is the LCM of 2528 and 2533?

Answer: LCM of 2528 and 2533 is 6403424.

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 2533?

Answer: Factors of 2533 are 1, 17, 149, 2533. There are 4 integers that are factors of 2533. The greatest factor of 2533 is 2533.

4. How to Find the LCM of 2528 and 2533?

Answer:

Least Common Multiple of 2528 and 2533 = 6403424

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 2533

2533 = 17 x 149

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

LCM = 6403424 = 2 x 2 x 2 x 2 x 2 x 17 x 79 x 149

Step 4: Therefore, the least common multiple of 2528 and 2533 is 6403424.