Least Common Multiple of 2525 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 2525 and 2533 the smallest integer that is 6395825 that is divisible by both numbers.

Least Common Multiple (LCM) of 2525 and 2533 is 6395825.

LCM(2525,2533) = 6395825

LCM of 2525 and 2533

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

LCM of:
and

Least Common Multiple of 2525 and 2533

LCM of 2525 and 2533 is 6395825

Least common multiple can be found by multiplying the highest exponent prime factors of 2525 and 2533. First we will calculate the prime factors of 2525 and 2533.

Prime Factorization of 2525


5 2525
5 505
101 101
1

Prime factors of 2525 are 5,101. Prime factorization of 2525 in exponential form is:

2525 = 52×1011

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 2525 and 2533.

LCM(2525,2533) = 52×171×1011×1491
LCM(2525,2533) = 6395825

Factors of 2525

List of positive integer factors of 2525 that divides 2525 without a remainder.

1, 5, 25, 101, 505, 2525

Factors of 2533

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

1, 17, 149, 2533

Least Common Multiple of 2525 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 2525 and 2533, than apply into the LCM equation.

GCF(2525,2533) = 1
LCM(2525,2533) = ( 2525 × 2533) / 1
LCM(2525,2533) = 6395825 / 1
LCM(2525,2533) = 6395825

Properties of LCM 2525 and 2533

(i) The LCM of 2533 and 2525 is associative

LCM of 2525 and 2533 = LCM of 2533 and 2525

Related Least Common Multiples of 2525

Related Least Common Multiples of 2533

Frequently Asked Questions on LCM of 2525 and 2533

1. What is the LCM of 2525 and 2533?

Answer: LCM of 2525 and 2533 is 6395825.

2. What are the Factors of 2525?

Answer: Factors of 2525 are 1, 5, 25, 101, 505, 2525. There are 6 integers that are factors of 2525. The greatest factor of 2525 is 2525.

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 2525 and 2533?

Answer:

Least Common Multiple of 2525 and 2533 = 6395825

Step 1: Find the prime factorization of 2525

2525 = 5 x 5 x 101

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 = 6395825 = 5 x 5 x 17 x 101 x 149

Step 4: Therefore, the least common multiple of 2525 and 2533 is 6395825.