Least Common Multiple of 2451 and 2457

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 2457 the smallest integer that is 2007369 that is divisible by both numbers.

Least Common Multiple (LCM) of 2451 and 2457 is 2007369.

LCM(2451,2457) = 2007369

LCM of 2451 and 2457

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

LCM of:
and

Least Common Multiple of 2451 and 2457

LCM of 2451 and 2457 is 2007369

Least common multiple can be found by multiplying the highest exponent prime factors of 2451 and 2457. First we will calculate the prime factors of 2451 and 2457.

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 2457


3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 2457 are 3, 7,13. Prime factorization of 2457 in exponential form is:

2457 = 33×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2451 and 2457.

LCM(2451,2457) = 33×71×131×191×431
LCM(2451,2457) = 2007369

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 2457

List of positive integer factors of 2457 that divides 2457 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457

Least Common Multiple of 2451 and 2457 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 2457, than apply into the LCM equation.

GCF(2451,2457) = 3
LCM(2451,2457) = ( 2451 × 2457) / 3
LCM(2451,2457) = 6022107 / 3
LCM(2451,2457) = 2007369

Properties of LCM 2451 and 2457

(i) The LCM of 2457 and 2451 is associative

LCM of 2451 and 2457 = LCM of 2457 and 2451

Related Least Common Multiples of 2451

Related Least Common Multiples of 2457

Frequently Asked Questions on LCM of 2451 and 2457

1. What is the LCM of 2451 and 2457?

Answer: LCM of 2451 and 2457 is 2007369.

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 2457?

Answer: Factors of 2457 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457. There are 16 integers that are factors of 2457. The greatest factor of 2457 is 2457.

4. How to Find the LCM of 2451 and 2457?

Answer:

Least Common Multiple of 2451 and 2457 = 2007369

Step 1: Find the prime factorization of 2451

2451 = 3 x 19 x 43

Step 2: Find the prime factorization of 2457

2457 = 3 x 3 x 3 x 7 x 13

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

LCM = 2007369 = 3 x 3 x 3 x 7 x 13 x 19 x 43

Step 4: Therefore, the least common multiple of 2451 and 2457 is 2007369.