Least Common Multiple of 8448 and 8452

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 8452 the smallest integer that is 17850624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8448 and 8452 is 17850624.

LCM(8448,8452) = 17850624

LCM of 8448 and 8452

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

LCM of:
and

Least Common Multiple of 8448 and 8452

LCM of 8448 and 8452 is 17850624

Least common multiple can be found by multiplying the highest exponent prime factors of 8448 and 8452. First we will calculate the prime factors of 8448 and 8452.

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 8452


2 8452
2 4226
2113 2113
1

Prime factors of 8452 are 2,2113. Prime factorization of 8452 in exponential form is:

8452 = 22×21131

Now multiplying the highest exponent prime factors to calculate the LCM of 8448 and 8452.

LCM(8448,8452) = 28×31×111×21131
LCM(8448,8452) = 17850624

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 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1, 2, 4, 2113, 4226, 8452

Least Common Multiple of 8448 and 8452 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 8452, than apply into the LCM equation.

GCF(8448,8452) = 4
LCM(8448,8452) = ( 8448 × 8452) / 4
LCM(8448,8452) = 71402496 / 4
LCM(8448,8452) = 17850624

Properties of LCM 8448 and 8452

(i) The LCM of 8452 and 8448 is associative

LCM of 8448 and 8452 = LCM of 8452 and 8448

Related Least Common Multiples of 8448

Related Least Common Multiples of 8452

Frequently Asked Questions on LCM of 8448 and 8452

1. What is the LCM of 8448 and 8452?

Answer: LCM of 8448 and 8452 is 17850624.

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 8452?

Answer: Factors of 8452 are 1, 2, 4, 2113, 4226, 8452. There are 6 integers that are factors of 8452. The greatest factor of 8452 is 8452.

4. How to Find the LCM of 8448 and 8452?

Answer:

Least Common Multiple of 8448 and 8452 = 17850624

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 8452

8452 = 2 x 2 x 2113

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

LCM = 17850624 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 2113

Step 4: Therefore, the least common multiple of 8448 and 8452 is 17850624.