Least Common Multiple of 8446 and 8448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8446 and 8448 the smallest integer that is 35675904 that is divisible by both numbers.

Least Common Multiple (LCM) of 8446 and 8448 is 35675904.

LCM(8446,8448) = 35675904

LCM of 8446 and 8448

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

LCM of:
and

Least Common Multiple of 8446 and 8448

LCM of 8446 and 8448 is 35675904

Least common multiple can be found by multiplying the highest exponent prime factors of 8446 and 8448. First we will calculate the prime factors of 8446 and 8448.

Prime Factorization of 8446


2 8446
41 4223
103 103
1

Prime factors of 8446 are 2, 41,103. Prime factorization of 8446 in exponential form is:

8446 = 21×411×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8446 and 8448.

LCM(8446,8448) = 28×31×111×411×1031
LCM(8446,8448) = 35675904

Factors of 8446

List of positive integer factors of 8446 that divides 8446 without a remainder.

1, 2, 41, 82, 103, 206, 4223, 8446

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

Least Common Multiple of 8446 and 8448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8446 and 8448, than apply into the LCM equation.

GCF(8446,8448) = 2
LCM(8446,8448) = ( 8446 × 8448) / 2
LCM(8446,8448) = 71351808 / 2
LCM(8446,8448) = 35675904

Properties of LCM 8446 and 8448

(i) The LCM of 8448 and 8446 is associative

LCM of 8446 and 8448 = LCM of 8448 and 8446

Related Least Common Multiples of 8446

Related Least Common Multiples of 8448

Frequently Asked Questions on LCM of 8446 and 8448

1. What is the LCM of 8446 and 8448?

Answer: LCM of 8446 and 8448 is 35675904.

2. What are the Factors of 8446?

Answer: Factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446. There are 8 integers that are factors of 8446. The greatest factor of 8446 is 8446.

3. 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.

4. How to Find the LCM of 8446 and 8448?

Answer:

Least Common Multiple of 8446 and 8448 = 35675904

Step 1: Find the prime factorization of 8446

8446 = 2 x 41 x 103

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 35675904 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 41 x 103

Step 4: Therefore, the least common multiple of 8446 and 8448 is 35675904.