Least Common Multiple of 8442 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 8442 and 8448 the smallest integer that is 11886336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8442 and 8448 is 11886336.

LCM(8442,8448) = 11886336

LCM of 8442 and 8448

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

LCM of:
and

Least Common Multiple of 8442 and 8448

LCM of 8442 and 8448 is 11886336

Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8448. First we will calculate the prime factors of 8442 and 8448.

Prime Factorization of 8442


2 8442
3 4221
3 1407
7 469
67 67
1

Prime factors of 8442 are 2, 3, 7,67. Prime factorization of 8442 in exponential form is:

8442 = 21×32×71×671

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 8442 and 8448.

LCM(8442,8448) = 28×32×71×111×671
LCM(8442,8448) = 11886336

Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442

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 8442 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 8442 and 8448, than apply into the LCM equation.

GCF(8442,8448) = 6
LCM(8442,8448) = ( 8442 × 8448) / 6
LCM(8442,8448) = 71318016 / 6
LCM(8442,8448) = 11886336

Properties of LCM 8442 and 8448

(i) The LCM of 8448 and 8442 is associative

LCM of 8442 and 8448 = LCM of 8448 and 8442

Related Least Common Multiples of 8442

Related Least Common Multiples of 8448

Frequently Asked Questions on LCM of 8442 and 8448

1. What is the LCM of 8442 and 8448?

Answer: LCM of 8442 and 8448 is 11886336.

2. What are the Factors of 8442?

Answer: Factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442. There are 24 integers that are factors of 8442. The greatest factor of 8442 is 8442.

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 8442 and 8448?

Answer:

Least Common Multiple of 8442 and 8448 = 11886336

Step 1: Find the prime factorization of 8442

8442 = 2 x 3 x 3 x 7 x 67

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 = 11886336 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 67

Step 4: Therefore, the least common multiple of 8442 and 8448 is 11886336.