Least Common Multiple of 8434 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 8434 and 8442 the smallest integer that is 35599914 that is divisible by both numbers.

Least Common Multiple (LCM) of 8434 and 8442 is 35599914.

LCM(8434,8442) = 35599914

LCM of 8434 and 8442

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

LCM of:
and

Least Common Multiple of 8434 and 8442

LCM of 8434 and 8442 is 35599914

Least common multiple can be found by multiplying the highest exponent prime factors of 8434 and 8442. First we will calculate the prime factors of 8434 and 8442.

Prime Factorization of 8434


2 8434
4217 4217
1

Prime factors of 8434 are 2,4217. Prime factorization of 8434 in exponential form is:

8434 = 21×42171

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 8434 and 8442.

LCM(8434,8442) = 21×32×71×671×42171
LCM(8434,8442) = 35599914

Factors of 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1, 2, 4217, 8434

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 8434 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 8434 and 8442, than apply into the LCM equation.

GCF(8434,8442) = 2
LCM(8434,8442) = ( 8434 × 8442) / 2
LCM(8434,8442) = 71199828 / 2
LCM(8434,8442) = 35599914

Properties of LCM 8434 and 8442

(i) The LCM of 8442 and 8434 is associative

LCM of 8434 and 8442 = LCM of 8442 and 8434

Related Least Common Multiples of 8434

Related Least Common Multiples of 8442

Frequently Asked Questions on LCM of 8434 and 8442

1. What is the LCM of 8434 and 8442?

Answer: LCM of 8434 and 8442 is 35599914.

2. What are the Factors of 8434?

Answer: Factors of 8434 are 1, 2, 4217, 8434. There are 4 integers that are factors of 8434. The greatest factor of 8434 is 8434.

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 8434 and 8442?

Answer:

Least Common Multiple of 8434 and 8442 = 35599914

Step 1: Find the prime factorization of 8434

8434 = 2 x 4217

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 = 35599914 = 2 x 3 x 3 x 7 x 67 x 4217

Step 4: Therefore, the least common multiple of 8434 and 8442 is 35599914.