Least Common Multiple of 8448 and 8455

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 8455 the smallest integer that is 71427840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8448 and 8455 is 71427840.

LCM(8448,8455) = 71427840

LCM of 8448 and 8455

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

LCM of:
and

Least Common Multiple of 8448 and 8455

LCM of 8448 and 8455 is 71427840

Least common multiple can be found by multiplying the highest exponent prime factors of 8448 and 8455. First we will calculate the prime factors of 8448 and 8455.

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 8455


5 8455
19 1691
89 89
1

Prime factors of 8455 are 5, 19,89. Prime factorization of 8455 in exponential form is:

8455 = 51×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8448 and 8455.

LCM(8448,8455) = 28×31×51×111×191×891
LCM(8448,8455) = 71427840

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 8455

List of positive integer factors of 8455 that divides 8455 without a remainder.

1, 5, 19, 89, 95, 445, 1691, 8455

Least Common Multiple of 8448 and 8455 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 8455, than apply into the LCM equation.

GCF(8448,8455) = 1
LCM(8448,8455) = ( 8448 × 8455) / 1
LCM(8448,8455) = 71427840 / 1
LCM(8448,8455) = 71427840

Properties of LCM 8448 and 8455

(i) The LCM of 8455 and 8448 is associative

LCM of 8448 and 8455 = LCM of 8455 and 8448

Related Least Common Multiples of 8448

Related Least Common Multiples of 8455

Frequently Asked Questions on LCM of 8448 and 8455

1. What is the LCM of 8448 and 8455?

Answer: LCM of 8448 and 8455 is 71427840.

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 8455?

Answer: Factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455. There are 8 integers that are factors of 8455. The greatest factor of 8455 is 8455.

4. How to Find the LCM of 8448 and 8455?

Answer:

Least Common Multiple of 8448 and 8455 = 71427840

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 8455

8455 = 5 x 19 x 89

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

LCM = 71427840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 19 x 89

Step 4: Therefore, the least common multiple of 8448 and 8455 is 71427840.