Least Common Multiple of 8438 and 8442

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 8442 the smallest integer that is 35616798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8438 and 8442 is 35616798.

LCM(8438,8442) = 35616798

LCM of 8438 and 8442

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

LCM of:
and

Least Common Multiple of 8438 and 8442

LCM of 8438 and 8442 is 35616798

Least common multiple can be found by multiplying the highest exponent prime factors of 8438 and 8442. First we will calculate the prime factors of 8438 and 8442.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8438 and 8442.

LCM(8438,8442) = 21×32×71×671×42191
LCM(8438,8442) = 35616798

Factors of 8438

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

1, 2, 4219, 8438

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

Least Common Multiple of 8438 and 8442 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 8442, than apply into the LCM equation.

GCF(8438,8442) = 2
LCM(8438,8442) = ( 8438 × 8442) / 2
LCM(8438,8442) = 71233596 / 2
LCM(8438,8442) = 35616798

Properties of LCM 8438 and 8442

(i) The LCM of 8442 and 8438 is associative

LCM of 8438 and 8442 = LCM of 8442 and 8438

Related Least Common Multiples of 8438

Related Least Common Multiples of 8442

Frequently Asked Questions on LCM of 8438 and 8442

1. What is the LCM of 8438 and 8442?

Answer: LCM of 8438 and 8442 is 35616798.

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 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.

4. How to Find the LCM of 8438 and 8442?

Answer:

Least Common Multiple of 8438 and 8442 = 35616798

Step 1: Find the prime factorization of 8438

8438 = 2 x 4219

Step 2: Find the prime factorization of 8442

8442 = 2 x 3 x 3 x 7 x 67

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

LCM = 35616798 = 2 x 3 x 3 x 7 x 67 x 4219

Step 4: Therefore, the least common multiple of 8438 and 8442 is 35616798.