Least Common Multiple of 2454 and 2458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2454 and 2458 the smallest integer that is 3015966 that is divisible by both numbers.

Least Common Multiple (LCM) of 2454 and 2458 is 3015966.

LCM(2454,2458) = 3015966

LCM of 2454 and 2458

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

LCM of:
and

Least Common Multiple of 2454 and 2458

LCM of 2454 and 2458 is 3015966

Least common multiple can be found by multiplying the highest exponent prime factors of 2454 and 2458. First we will calculate the prime factors of 2454 and 2458.

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

Prime Factorization of 2458


2 2458
1229 1229
1

Prime factors of 2458 are 2,1229. Prime factorization of 2458 in exponential form is:

2458 = 21×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 2454 and 2458.

LCM(2454,2458) = 21×31×4091×12291
LCM(2454,2458) = 3015966

Factors of 2454

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

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

Factors of 2458

List of positive integer factors of 2458 that divides 2458 without a remainder.

1, 2, 1229, 2458

Least Common Multiple of 2454 and 2458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2454 and 2458, than apply into the LCM equation.

GCF(2454,2458) = 2
LCM(2454,2458) = ( 2454 × 2458) / 2
LCM(2454,2458) = 6031932 / 2
LCM(2454,2458) = 3015966

Properties of LCM 2454 and 2458

(i) The LCM of 2458 and 2454 is associative

LCM of 2454 and 2458 = LCM of 2458 and 2454

Related Least Common Multiples of 2454

Related Least Common Multiples of 2458

Frequently Asked Questions on LCM of 2454 and 2458

1. What is the LCM of 2454 and 2458?

Answer: LCM of 2454 and 2458 is 3015966.

2. 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.

3. What are the Factors of 2458?

Answer: Factors of 2458 are 1, 2, 1229, 2458. There are 4 integers that are factors of 2458. The greatest factor of 2458 is 2458.

4. How to Find the LCM of 2454 and 2458?

Answer:

Least Common Multiple of 2454 and 2458 = 3015966

Step 1: Find the prime factorization of 2454

2454 = 2 x 3 x 409

Step 2: Find the prime factorization of 2458

2458 = 2 x 1229

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

LCM = 3015966 = 2 x 3 x 409 x 1229

Step 4: Therefore, the least common multiple of 2454 and 2458 is 3015966.