Least Common Multiple of 8448 and 8453

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 8453 the smallest integer that is 71410944 that is divisible by both numbers.

Least Common Multiple (LCM) of 8448 and 8453 is 71410944.

LCM(8448,8453) = 71410944

LCM of 8448 and 8453

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

LCM of:
and

Least Common Multiple of 8448 and 8453

LCM of 8448 and 8453 is 71410944

Least common multiple can be found by multiplying the highest exponent prime factors of 8448 and 8453. First we will calculate the prime factors of 8448 and 8453.

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 8453


79 8453
107 107
1

Prime factors of 8453 are 79,107. Prime factorization of 8453 in exponential form is:

8453 = 791×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8448 and 8453.

LCM(8448,8453) = 28×31×111×791×1071
LCM(8448,8453) = 71410944

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 8453

List of positive integer factors of 8453 that divides 8453 without a remainder.

1, 79, 107, 8453

Least Common Multiple of 8448 and 8453 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 8453, than apply into the LCM equation.

GCF(8448,8453) = 1
LCM(8448,8453) = ( 8448 × 8453) / 1
LCM(8448,8453) = 71410944 / 1
LCM(8448,8453) = 71410944

Properties of LCM 8448 and 8453

(i) The LCM of 8453 and 8448 is associative

LCM of 8448 and 8453 = LCM of 8453 and 8448

Related Least Common Multiples of 8448

Related Least Common Multiples of 8453

Frequently Asked Questions on LCM of 8448 and 8453

1. What is the LCM of 8448 and 8453?

Answer: LCM of 8448 and 8453 is 71410944.

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 8453?

Answer: Factors of 8453 are 1, 79, 107, 8453. There are 4 integers that are factors of 8453. The greatest factor of 8453 is 8453.

4. How to Find the LCM of 8448 and 8453?

Answer:

Least Common Multiple of 8448 and 8453 = 71410944

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 8453

8453 = 79 x 107

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

LCM = 71410944 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 79 x 107

Step 4: Therefore, the least common multiple of 8448 and 8453 is 71410944.