Least Common Multiple of 8448 and 8451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8448 and 8451 the smallest integer that is 23798016 that is divisible by both numbers.

Least Common Multiple (LCM) of 8448 and 8451 is 23798016.

LCM(8448,8451) = 23798016

LCM of 8448 and 8451

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

LCM of:
and

Least Common Multiple of 8448 and 8451

LCM of 8448 and 8451 is 23798016

Least common multiple can be found by multiplying the highest exponent prime factors of 8448 and 8451. First we will calculate the prime factors of 8448 and 8451.

Prime Factorization of 8448


2 8448
2 4224
2 2112
2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 8448 are 2, 3,11. Prime factorization of 8448 in exponential form is:

8448 = 28×31×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8448 and 8451.

LCM(8448,8451) = 28×33×111×3131
LCM(8448,8451) = 23798016

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448

Factors of 8451

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

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

Least Common Multiple of 8448 and 8451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8448 and 8451, than apply into the LCM equation.

GCF(8448,8451) = 3
LCM(8448,8451) = ( 8448 × 8451) / 3
LCM(8448,8451) = 71394048 / 3
LCM(8448,8451) = 23798016

Properties of LCM 8448 and 8451

(i) The LCM of 8451 and 8448 is associative

LCM of 8448 and 8451 = LCM of 8451 and 8448

Related Least Common Multiples of 8448

Related Least Common Multiples of 8451

Frequently Asked Questions on LCM of 8448 and 8451

1. What is the LCM of 8448 and 8451?

Answer: LCM of 8448 and 8451 is 23798016.

2. What are the Factors of 8448?

Answer: Factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448. There are 36 integers that are factors of 8448. The greatest factor of 8448 is 8448.

3. 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.

4. How to Find the LCM of 8448 and 8451?

Answer:

Least Common Multiple of 8448 and 8451 = 23798016

Step 1: Find the prime factorization of 8448

8448 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 8451

8451 = 3 x 3 x 3 x 313

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

LCM = 23798016 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 313

Step 4: Therefore, the least common multiple of 8448 and 8451 is 23798016.