Least Common Multiple of 2450 and 2456

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 2456 the smallest integer that is 3008600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2450 and 2456 is 3008600.

LCM(2450,2456) = 3008600

LCM of 2450 and 2456

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

LCM of:
and

Least Common Multiple of 2450 and 2456

LCM of 2450 and 2456 is 3008600

Least common multiple can be found by multiplying the highest exponent prime factors of 2450 and 2456. First we will calculate the prime factors of 2450 and 2456.

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 2456


2 2456
2 1228
2 614
307 307
1

Prime factors of 2456 are 2,307. Prime factorization of 2456 in exponential form is:

2456 = 23×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2456.

LCM(2450,2456) = 23×52×72×3071
LCM(2450,2456) = 3008600

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 2456

List of positive integer factors of 2456 that divides 2456 without a remainder.

1, 2, 4, 8, 307, 614, 1228, 2456

Least Common Multiple of 2450 and 2456 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 2456, than apply into the LCM equation.

GCF(2450,2456) = 2
LCM(2450,2456) = ( 2450 × 2456) / 2
LCM(2450,2456) = 6017200 / 2
LCM(2450,2456) = 3008600

Properties of LCM 2450 and 2456

(i) The LCM of 2456 and 2450 is associative

LCM of 2450 and 2456 = LCM of 2456 and 2450

Related Least Common Multiples of 2450

Related Least Common Multiples of 2456

Frequently Asked Questions on LCM of 2450 and 2456

1. What is the LCM of 2450 and 2456?

Answer: LCM of 2450 and 2456 is 3008600.

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 2456?

Answer: Factors of 2456 are 1, 2, 4, 8, 307, 614, 1228, 2456. There are 8 integers that are factors of 2456. The greatest factor of 2456 is 2456.

4. How to Find the LCM of 2450 and 2456?

Answer:

Least Common Multiple of 2450 and 2456 = 3008600

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 2456

2456 = 2 x 2 x 2 x 307

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

LCM = 3008600 = 2 x 2 x 2 x 5 x 5 x 7 x 7 x 307

Step 4: Therefore, the least common multiple of 2450 and 2456 is 3008600.