Least Common Multiple of 2523 and 2525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2523 and 2525 the smallest integer that is 6370575 that is divisible by both numbers.

Least Common Multiple (LCM) of 2523 and 2525 is 6370575.

LCM(2523,2525) = 6370575

LCM of 2523 and 2525

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

LCM of:
and

Least Common Multiple of 2523 and 2525

LCM of 2523 and 2525 is 6370575

Least common multiple can be found by multiplying the highest exponent prime factors of 2523 and 2525. First we will calculate the prime factors of 2523 and 2525.

Prime Factorization of 2523


3 2523
29 841
29 29
1

Prime factors of 2523 are 3,29. Prime factorization of 2523 in exponential form is:

2523 = 31×292

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2523 and 2525.

LCM(2523,2525) = 31×52×292×1011
LCM(2523,2525) = 6370575

Factors of 2523

List of positive integer factors of 2523 that divides 2523 without a remainder.

1, 3, 29, 87, 841, 2523

Factors of 2525

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

1, 5, 25, 101, 505, 2525

Least Common Multiple of 2523 and 2525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2523 and 2525, than apply into the LCM equation.

GCF(2523,2525) = 1
LCM(2523,2525) = ( 2523 × 2525) / 1
LCM(2523,2525) = 6370575 / 1
LCM(2523,2525) = 6370575

Properties of LCM 2523 and 2525

(i) The LCM of 2525 and 2523 is associative

LCM of 2523 and 2525 = LCM of 2525 and 2523

Related Least Common Multiples of 2523

Related Least Common Multiples of 2525

Frequently Asked Questions on LCM of 2523 and 2525

1. What is the LCM of 2523 and 2525?

Answer: LCM of 2523 and 2525 is 6370575.

2. What are the Factors of 2523?

Answer: Factors of 2523 are 1, 3, 29, 87, 841, 2523. There are 6 integers that are factors of 2523. The greatest factor of 2523 is 2523.

3. 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.

4. How to Find the LCM of 2523 and 2525?

Answer:

Least Common Multiple of 2523 and 2525 = 6370575

Step 1: Find the prime factorization of 2523

2523 = 3 x 29 x 29

Step 2: Find the prime factorization of 2525

2525 = 5 x 5 x 101

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

LCM = 6370575 = 3 x 5 x 5 x 29 x 29 x 101

Step 4: Therefore, the least common multiple of 2523 and 2525 is 6370575.