Least Common Multiple of 2454 and 2460

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 2460 the smallest integer that is 1006140 that is divisible by both numbers.

Least Common Multiple (LCM) of 2454 and 2460 is 1006140.

LCM(2454,2460) = 1006140

LCM of 2454 and 2460

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

LCM of:
and

Least Common Multiple of 2454 and 2460

LCM of 2454 and 2460 is 1006140

Least common multiple can be found by multiplying the highest exponent prime factors of 2454 and 2460. First we will calculate the prime factors of 2454 and 2460.

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 2460


2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 2460 are 2, 3, 5,41. Prime factorization of 2460 in exponential form is:

2460 = 22×31×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2454 and 2460.

LCM(2454,2460) = 22×31×51×411×4091
LCM(2454,2460) = 1006140

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 2460

List of positive integer factors of 2460 that divides 2460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460

Least Common Multiple of 2454 and 2460 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 2460, than apply into the LCM equation.

GCF(2454,2460) = 6
LCM(2454,2460) = ( 2454 × 2460) / 6
LCM(2454,2460) = 6036840 / 6
LCM(2454,2460) = 1006140

Properties of LCM 2454 and 2460

(i) The LCM of 2460 and 2454 is associative

LCM of 2454 and 2460 = LCM of 2460 and 2454

Related Least Common Multiples of 2454

Related Least Common Multiples of 2460

Frequently Asked Questions on LCM of 2454 and 2460

1. What is the LCM of 2454 and 2460?

Answer: LCM of 2454 and 2460 is 1006140.

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 2460?

Answer: Factors of 2460 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460. There are 24 integers that are factors of 2460. The greatest factor of 2460 is 2460.

4. How to Find the LCM of 2454 and 2460?

Answer:

Least Common Multiple of 2454 and 2460 = 1006140

Step 1: Find the prime factorization of 2454

2454 = 2 x 3 x 409

Step 2: Find the prime factorization of 2460

2460 = 2 x 2 x 3 x 5 x 41

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

LCM = 1006140 = 2 x 2 x 3 x 5 x 41 x 409

Step 4: Therefore, the least common multiple of 2454 and 2460 is 1006140.