Least Common Multiple of 2454 and 2462

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 2462 the smallest integer that is 3020874 that is divisible by both numbers.

Least Common Multiple (LCM) of 2454 and 2462 is 3020874.

LCM(2454,2462) = 3020874

LCM of 2454 and 2462

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

LCM of:
and

Least Common Multiple of 2454 and 2462

LCM of 2454 and 2462 is 3020874

Least common multiple can be found by multiplying the highest exponent prime factors of 2454 and 2462. First we will calculate the prime factors of 2454 and 2462.

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 2462


2 2462
1231 1231
1

Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:

2462 = 21×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 2454 and 2462.

LCM(2454,2462) = 21×31×4091×12311
LCM(2454,2462) = 3020874

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 2462

List of positive integer factors of 2462 that divides 2462 without a remainder.

1, 2, 1231, 2462

Least Common Multiple of 2454 and 2462 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 2462, than apply into the LCM equation.

GCF(2454,2462) = 2
LCM(2454,2462) = ( 2454 × 2462) / 2
LCM(2454,2462) = 6041748 / 2
LCM(2454,2462) = 3020874

Properties of LCM 2454 and 2462

(i) The LCM of 2462 and 2454 is associative

LCM of 2454 and 2462 = LCM of 2462 and 2454

Related Least Common Multiples of 2454

Related Least Common Multiples of 2462

Frequently Asked Questions on LCM of 2454 and 2462

1. What is the LCM of 2454 and 2462?

Answer: LCM of 2454 and 2462 is 3020874.

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 2462?

Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.

4. How to Find the LCM of 2454 and 2462?

Answer:

Least Common Multiple of 2454 and 2462 = 3020874

Step 1: Find the prime factorization of 2454

2454 = 2 x 3 x 409

Step 2: Find the prime factorization of 2462

2462 = 2 x 1231

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

LCM = 3020874 = 2 x 3 x 409 x 1231

Step 4: Therefore, the least common multiple of 2454 and 2462 is 3020874.