Least Common Multiple of 2451 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 2451 and 2454 the smallest integer that is 2004918 that is divisible by both numbers.

Least Common Multiple (LCM) of 2451 and 2454 is 2004918.

LCM(2451,2454) = 2004918

LCM of 2451 and 2454

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

LCM of:
and

Least Common Multiple of 2451 and 2454

LCM of 2451 and 2454 is 2004918

Least common multiple can be found by multiplying the highest exponent prime factors of 2451 and 2454. First we will calculate the prime factors of 2451 and 2454.

Prime Factorization of 2451


3 2451
19 817
43 43
1

Prime factors of 2451 are 3, 19,43. Prime factorization of 2451 in exponential form is:

2451 = 31×191×431

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 2451 and 2454.

LCM(2451,2454) = 21×31×191×431×4091
LCM(2451,2454) = 2004918

Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1, 3, 19, 43, 57, 129, 817, 2451

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 2451 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 2451 and 2454, than apply into the LCM equation.

GCF(2451,2454) = 3
LCM(2451,2454) = ( 2451 × 2454) / 3
LCM(2451,2454) = 6014754 / 3
LCM(2451,2454) = 2004918

Properties of LCM 2451 and 2454

(i) The LCM of 2454 and 2451 is associative

LCM of 2451 and 2454 = LCM of 2454 and 2451

Related Least Common Multiples of 2451

Related Least Common Multiples of 2454

Frequently Asked Questions on LCM of 2451 and 2454

1. What is the LCM of 2451 and 2454?

Answer: LCM of 2451 and 2454 is 2004918.

2. What are the Factors of 2451?

Answer: Factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451. There are 8 integers that are factors of 2451. The greatest factor of 2451 is 2451.

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 2451 and 2454?

Answer:

Least Common Multiple of 2451 and 2454 = 2004918

Step 1: Find the prime factorization of 2451

2451 = 3 x 19 x 43

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 = 2004918 = 2 x 3 x 19 x 43 x 409

Step 4: Therefore, the least common multiple of 2451 and 2454 is 2004918.