Least Common Multiple of 8442 and 8446

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 8446 the smallest integer that is 35650566 that is divisible by both numbers.

Least Common Multiple (LCM) of 8442 and 8446 is 35650566.

LCM(8442,8446) = 35650566

LCM of 8442 and 8446

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

LCM of:
and

Least Common Multiple of 8442 and 8446

LCM of 8442 and 8446 is 35650566

Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8446. First we will calculate the prime factors of 8442 and 8446.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8442 and 8446.

LCM(8442,8446) = 21×32×71×411×671×1031
LCM(8442,8446) = 35650566

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 8446

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

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

Least Common Multiple of 8442 and 8446 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 8446, than apply into the LCM equation.

GCF(8442,8446) = 2
LCM(8442,8446) = ( 8442 × 8446) / 2
LCM(8442,8446) = 71301132 / 2
LCM(8442,8446) = 35650566

Properties of LCM 8442 and 8446

(i) The LCM of 8446 and 8442 is associative

LCM of 8442 and 8446 = LCM of 8446 and 8442

Related Least Common Multiples of 8442

Related Least Common Multiples of 8446

Frequently Asked Questions on LCM of 8442 and 8446

1. What is the LCM of 8442 and 8446?

Answer: LCM of 8442 and 8446 is 35650566.

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 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.

4. How to Find the LCM of 8442 and 8446?

Answer:

Least Common Multiple of 8442 and 8446 = 35650566

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 8446

8446 = 2 x 41 x 103

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

LCM = 35650566 = 2 x 3 x 3 x 7 x 41 x 67 x 103

Step 4: Therefore, the least common multiple of 8442 and 8446 is 35650566.