Least Common Multiple of 2445 and 2450

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 2450 the smallest integer that is 1198050 that is divisible by both numbers.

Least Common Multiple (LCM) of 2445 and 2450 is 1198050.

LCM(2445,2450) = 1198050

LCM of 2445 and 2450

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

LCM of:
and

Least Common Multiple of 2445 and 2450

LCM of 2445 and 2450 is 1198050

Least common multiple can be found by multiplying the highest exponent prime factors of 2445 and 2450. First we will calculate the prime factors of 2445 and 2450.

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 2450


2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 2450 are 2, 5,7. Prime factorization of 2450 in exponential form is:

2450 = 21×52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2445 and 2450.

LCM(2445,2450) = 21×31×52×72×1631
LCM(2445,2450) = 1198050

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 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450

Least Common Multiple of 2445 and 2450 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 2450, than apply into the LCM equation.

GCF(2445,2450) = 5
LCM(2445,2450) = ( 2445 × 2450) / 5
LCM(2445,2450) = 5990250 / 5
LCM(2445,2450) = 1198050

Properties of LCM 2445 and 2450

(i) The LCM of 2450 and 2445 is associative

LCM of 2445 and 2450 = LCM of 2450 and 2445

Related Least Common Multiples of 2445

Related Least Common Multiples of 2450

Frequently Asked Questions on LCM of 2445 and 2450

1. What is the LCM of 2445 and 2450?

Answer: LCM of 2445 and 2450 is 1198050.

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 2450?

Answer: Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. There are 18 integers that are factors of 2450. The greatest factor of 2450 is 2450.

4. How to Find the LCM of 2445 and 2450?

Answer:

Least Common Multiple of 2445 and 2450 = 1198050

Step 1: Find the prime factorization of 2445

2445 = 3 x 5 x 163

Step 2: Find the prime factorization of 2450

2450 = 2 x 5 x 5 x 7 x 7

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

LCM = 1198050 = 2 x 3 x 5 x 5 x 7 x 7 x 163

Step 4: Therefore, the least common multiple of 2445 and 2450 is 1198050.