Least Common Multiple of 2450 and 2454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2450 and 2454 the smallest integer that is 3006150 that is divisible by both numbers.

Least Common Multiple (LCM) of 2450 and 2454 is 3006150.

LCM(2450,2454) = 3006150

LCM of 2450 and 2454

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

LCM of:
and

Least Common Multiple of 2450 and 2454

LCM of 2450 and 2454 is 3006150

Least common multiple can be found by multiplying the highest exponent prime factors of 2450 and 2454. First we will calculate the prime factors of 2450 and 2454.

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

Prime Factorization of 2454


2 2454
3 1227
409 409
1

Prime factors of 2454 are 2, 3,409. Prime factorization of 2454 in exponential form is:

2454 = 21×31×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2454.

LCM(2450,2454) = 21×31×52×72×4091
LCM(2450,2454) = 3006150

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

Factors of 2454

List of positive integer factors of 2454 that divides 2454 without a remainder.

1, 2, 3, 6, 409, 818, 1227, 2454

Least Common Multiple of 2450 and 2454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2450 and 2454, than apply into the LCM equation.

GCF(2450,2454) = 2
LCM(2450,2454) = ( 2450 × 2454) / 2
LCM(2450,2454) = 6012300 / 2
LCM(2450,2454) = 3006150

Properties of LCM 2450 and 2454

(i) The LCM of 2454 and 2450 is associative

LCM of 2450 and 2454 = LCM of 2454 and 2450

Related Least Common Multiples of 2450

Related Least Common Multiples of 2454

Frequently Asked Questions on LCM of 2450 and 2454

1. What is the LCM of 2450 and 2454?

Answer: LCM of 2450 and 2454 is 3006150.

2. 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.

3. What are the Factors of 2454?

Answer: Factors of 2454 are 1, 2, 3, 6, 409, 818, 1227, 2454. There are 8 integers that are factors of 2454. The greatest factor of 2454 is 2454.

4. How to Find the LCM of 2450 and 2454?

Answer:

Least Common Multiple of 2450 and 2454 = 3006150

Step 1: Find the prime factorization of 2450

2450 = 2 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 2454

2454 = 2 x 3 x 409

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

LCM = 3006150 = 2 x 3 x 5 x 5 x 7 x 7 x 409

Step 4: Therefore, the least common multiple of 2450 and 2454 is 3006150.