Least Common Multiple of 8834 and 8842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8834 and 8842 the smallest integer that is 39055114 that is divisible by both numbers.

Least Common Multiple (LCM) of 8834 and 8842 is 39055114.

LCM(8834,8842) = 39055114

LCM of 8834 and 8842

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

LCM of:
and

Least Common Multiple of 8834 and 8842

LCM of 8834 and 8842 is 39055114

Least common multiple can be found by multiplying the highest exponent prime factors of 8834 and 8842. First we will calculate the prime factors of 8834 and 8842.

Prime Factorization of 8834


2 8834
7 4417
631 631
1

Prime factors of 8834 are 2, 7,631. Prime factorization of 8834 in exponential form is:

8834 = 21×71×6311

Prime Factorization of 8842


2 8842
4421 4421
1

Prime factors of 8842 are 2,4421. Prime factorization of 8842 in exponential form is:

8842 = 21×44211

Now multiplying the highest exponent prime factors to calculate the LCM of 8834 and 8842.

LCM(8834,8842) = 21×71×6311×44211
LCM(8834,8842) = 39055114

Factors of 8834

List of positive integer factors of 8834 that divides 8834 without a remainder.

1, 2, 7, 14, 631, 1262, 4417, 8834

Factors of 8842

List of positive integer factors of 8842 that divides 8842 without a remainder.

1, 2, 4421, 8842

Least Common Multiple of 8834 and 8842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8834 and 8842, than apply into the LCM equation.

GCF(8834,8842) = 2
LCM(8834,8842) = ( 8834 × 8842) / 2
LCM(8834,8842) = 78110228 / 2
LCM(8834,8842) = 39055114

Properties of LCM 8834 and 8842

(i) The LCM of 8842 and 8834 is associative

LCM of 8834 and 8842 = LCM of 8842 and 8834

Related Least Common Multiples of 8834

Related Least Common Multiples of 8842

Frequently Asked Questions on LCM of 8834 and 8842

1. What is the LCM of 8834 and 8842?

Answer: LCM of 8834 and 8842 is 39055114.

2. What are the Factors of 8834?

Answer: Factors of 8834 are 1, 2, 7, 14, 631, 1262, 4417, 8834. There are 8 integers that are factors of 8834. The greatest factor of 8834 is 8834.

3. What are the Factors of 8842?

Answer: Factors of 8842 are 1, 2, 4421, 8842. There are 4 integers that are factors of 8842. The greatest factor of 8842 is 8842.

4. How to Find the LCM of 8834 and 8842?

Answer:

Least Common Multiple of 8834 and 8842 = 39055114

Step 1: Find the prime factorization of 8834

8834 = 2 x 7 x 631

Step 2: Find the prime factorization of 8842

8842 = 2 x 4421

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

LCM = 39055114 = 2 x 7 x 631 x 4421

Step 4: Therefore, the least common multiple of 8834 and 8842 is 39055114.