Least Common Multiple of 8451 and 8457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8451 and 8457 the smallest integer that is 23823369 that is divisible by both numbers.

Least Common Multiple (LCM) of 8451 and 8457 is 23823369.

LCM(8451,8457) = 23823369

LCM of 8451 and 8457

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

LCM of:
and

Least Common Multiple of 8451 and 8457

LCM of 8451 and 8457 is 23823369

Least common multiple can be found by multiplying the highest exponent prime factors of 8451 and 8457. First we will calculate the prime factors of 8451 and 8457.

Prime Factorization of 8451


3 8451
3 2817
3 939
313 313
1

Prime factors of 8451 are 3,313. Prime factorization of 8451 in exponential form is:

8451 = 33×3131

Prime Factorization of 8457


3 8457
2819 2819
1

Prime factors of 8457 are 3,2819. Prime factorization of 8457 in exponential form is:

8457 = 31×28191

Now multiplying the highest exponent prime factors to calculate the LCM of 8451 and 8457.

LCM(8451,8457) = 33×3131×28191
LCM(8451,8457) = 23823369

Factors of 8451

List of positive integer factors of 8451 that divides 8451 without a remainder.

1, 3, 9, 27, 313, 939, 2817, 8451

Factors of 8457

List of positive integer factors of 8457 that divides 8457 without a remainder.

1, 3, 2819, 8457

Least Common Multiple of 8451 and 8457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8451 and 8457, than apply into the LCM equation.

GCF(8451,8457) = 3
LCM(8451,8457) = ( 8451 × 8457) / 3
LCM(8451,8457) = 71470107 / 3
LCM(8451,8457) = 23823369

Properties of LCM 8451 and 8457

(i) The LCM of 8457 and 8451 is associative

LCM of 8451 and 8457 = LCM of 8457 and 8451

Related Least Common Multiples of 8451

Related Least Common Multiples of 8457

Frequently Asked Questions on LCM of 8451 and 8457

1. What is the LCM of 8451 and 8457?

Answer: LCM of 8451 and 8457 is 23823369.

2. What are the Factors of 8451?

Answer: Factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451. There are 8 integers that are factors of 8451. The greatest factor of 8451 is 8451.

3. What are the Factors of 8457?

Answer: Factors of 8457 are 1, 3, 2819, 8457. There are 4 integers that are factors of 8457. The greatest factor of 8457 is 8457.

4. How to Find the LCM of 8451 and 8457?

Answer:

Least Common Multiple of 8451 and 8457 = 23823369

Step 1: Find the prime factorization of 8451

8451 = 3 x 3 x 3 x 313

Step 2: Find the prime factorization of 8457

8457 = 3 x 2819

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

LCM = 23823369 = 3 x 3 x 3 x 313 x 2819

Step 4: Therefore, the least common multiple of 8451 and 8457 is 23823369.