Least Common Multiple of 8842 and 8848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8842 and 8848 the smallest integer that is 39117008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8842 and 8848 is 39117008.

LCM(8842,8848) = 39117008

LCM of 8842 and 8848

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

LCM of:
and

Least Common Multiple of 8842 and 8848

LCM of 8842 and 8848 is 39117008

Least common multiple can be found by multiplying the highest exponent prime factors of 8842 and 8848. First we will calculate the prime factors of 8842 and 8848.

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

Prime Factorization of 8848


2 8848
2 4424
2 2212
2 1106
7 553
79 79
1

Prime factors of 8848 are 2, 7,79. Prime factorization of 8848 in exponential form is:

8848 = 24×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8842 and 8848.

LCM(8842,8848) = 24×71×791×44211
LCM(8842,8848) = 39117008

Factors of 8842

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

1, 2, 4421, 8842

Factors of 8848

List of positive integer factors of 8848 that divides 8848 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848

Least Common Multiple of 8842 and 8848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8842 and 8848, than apply into the LCM equation.

GCF(8842,8848) = 2
LCM(8842,8848) = ( 8842 × 8848) / 2
LCM(8842,8848) = 78234016 / 2
LCM(8842,8848) = 39117008

Properties of LCM 8842 and 8848

(i) The LCM of 8848 and 8842 is associative

LCM of 8842 and 8848 = LCM of 8848 and 8842

Related Least Common Multiples of 8842

Related Least Common Multiples of 8848

Frequently Asked Questions on LCM of 8842 and 8848

1. What is the LCM of 8842 and 8848?

Answer: LCM of 8842 and 8848 is 39117008.

2. 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.

3. What are the Factors of 8848?

Answer: Factors of 8848 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848. There are 20 integers that are factors of 8848. The greatest factor of 8848 is 8848.

4. How to Find the LCM of 8842 and 8848?

Answer:

Least Common Multiple of 8842 and 8848 = 39117008

Step 1: Find the prime factorization of 8842

8842 = 2 x 4421

Step 2: Find the prime factorization of 8848

8848 = 2 x 2 x 2 x 2 x 7 x 79

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

LCM = 39117008 = 2 x 2 x 2 x 2 x 7 x 79 x 4421

Step 4: Therefore, the least common multiple of 8842 and 8848 is 39117008.