Least Common Multiple of 2445 and 2452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2445 and 2452 the smallest integer that is 5995140 that is divisible by both numbers.

Least Common Multiple (LCM) of 2445 and 2452 is 5995140.

LCM(2445,2452) = 5995140

LCM of 2445 and 2452

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

LCM of:
and

Least Common Multiple of 2445 and 2452

LCM of 2445 and 2452 is 5995140

Least common multiple can be found by multiplying the highest exponent prime factors of 2445 and 2452. First we will calculate the prime factors of 2445 and 2452.

Prime Factorization of 2445


3 2445
5 815
163 163
1

Prime factors of 2445 are 3, 5,163. Prime factorization of 2445 in exponential form is:

2445 = 31×51×1631

Prime Factorization of 2452


2 2452
2 1226
613 613
1

Prime factors of 2452 are 2,613. Prime factorization of 2452 in exponential form is:

2452 = 22×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 2445 and 2452.

LCM(2445,2452) = 22×31×51×1631×6131
LCM(2445,2452) = 5995140

Factors of 2445

List of positive integer factors of 2445 that divides 2445 without a remainder.

1, 3, 5, 15, 163, 489, 815, 2445

Factors of 2452

List of positive integer factors of 2452 that divides 2452 without a remainder.

1, 2, 4, 613, 1226, 2452

Least Common Multiple of 2445 and 2452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2445 and 2452, than apply into the LCM equation.

GCF(2445,2452) = 1
LCM(2445,2452) = ( 2445 × 2452) / 1
LCM(2445,2452) = 5995140 / 1
LCM(2445,2452) = 5995140

Properties of LCM 2445 and 2452

(i) The LCM of 2452 and 2445 is associative

LCM of 2445 and 2452 = LCM of 2452 and 2445

Related Least Common Multiples of 2445

Related Least Common Multiples of 2452

Frequently Asked Questions on LCM of 2445 and 2452

1. What is the LCM of 2445 and 2452?

Answer: LCM of 2445 and 2452 is 5995140.

2. What are the Factors of 2445?

Answer: Factors of 2445 are 1, 3, 5, 15, 163, 489, 815, 2445. There are 8 integers that are factors of 2445. The greatest factor of 2445 is 2445.

3. What are the Factors of 2452?

Answer: Factors of 2452 are 1, 2, 4, 613, 1226, 2452. There are 6 integers that are factors of 2452. The greatest factor of 2452 is 2452.

4. How to Find the LCM of 2445 and 2452?

Answer:

Least Common Multiple of 2445 and 2452 = 5995140

Step 1: Find the prime factorization of 2445

2445 = 3 x 5 x 163

Step 2: Find the prime factorization of 2452

2452 = 2 x 2 x 613

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

LCM = 5995140 = 2 x 2 x 3 x 5 x 163 x 613

Step 4: Therefore, the least common multiple of 2445 and 2452 is 5995140.