Least Common Multiple of 8438 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 8438 and 8446 the smallest integer that is 35633674 that is divisible by both numbers.

Least Common Multiple (LCM) of 8438 and 8446 is 35633674.

LCM(8438,8446) = 35633674

LCM of 8438 and 8446

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

LCM of:
and

Least Common Multiple of 8438 and 8446

LCM of 8438 and 8446 is 35633674

Least common multiple can be found by multiplying the highest exponent prime factors of 8438 and 8446. First we will calculate the prime factors of 8438 and 8446.

Prime Factorization of 8438


2 8438
4219 4219
1

Prime factors of 8438 are 2,4219. Prime factorization of 8438 in exponential form is:

8438 = 21×42191

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 8438 and 8446.

LCM(8438,8446) = 21×411×1031×42191
LCM(8438,8446) = 35633674

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1, 2, 4219, 8438

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 8438 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 8438 and 8446, than apply into the LCM equation.

GCF(8438,8446) = 2
LCM(8438,8446) = ( 8438 × 8446) / 2
LCM(8438,8446) = 71267348 / 2
LCM(8438,8446) = 35633674

Properties of LCM 8438 and 8446

(i) The LCM of 8446 and 8438 is associative

LCM of 8438 and 8446 = LCM of 8446 and 8438

Related Least Common Multiples of 8438

Related Least Common Multiples of 8446

Frequently Asked Questions on LCM of 8438 and 8446

1. What is the LCM of 8438 and 8446?

Answer: LCM of 8438 and 8446 is 35633674.

2. What are the Factors of 8438?

Answer: Factors of 8438 are 1, 2, 4219, 8438. There are 4 integers that are factors of 8438. The greatest factor of 8438 is 8438.

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 8438 and 8446?

Answer:

Least Common Multiple of 8438 and 8446 = 35633674

Step 1: Find the prime factorization of 8438

8438 = 2 x 4219

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 = 35633674 = 2 x 41 x 103 x 4219

Step 4: Therefore, the least common multiple of 8438 and 8446 is 35633674.