Least Common Multiple of 8849 and 8854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8849 and 8854 the smallest integer that is 78349046 that is divisible by both numbers.

Least Common Multiple (LCM) of 8849 and 8854 is 78349046.

LCM(8849,8854) = 78349046

LCM of 8849 and 8854

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

LCM of:
and

Least Common Multiple of 8849 and 8854

LCM of 8849 and 8854 is 78349046

Least common multiple can be found by multiplying the highest exponent prime factors of 8849 and 8854. First we will calculate the prime factors of 8849 and 8854.

Prime Factorization of 8849


8849 8849
1

Prime factors of 8849 are 8849. Prime factorization of 8849 in exponential form is:

8849 = 88491

Prime Factorization of 8854


2 8854
19 4427
233 233
1

Prime factors of 8854 are 2, 19,233. Prime factorization of 8854 in exponential form is:

8854 = 21×191×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 8849 and 8854.

LCM(8849,8854) = 21×191×2331×88491
LCM(8849,8854) = 78349046

Factors of 8849

List of positive integer factors of 8849 that divides 8849 without a remainder.

1, 8849

Factors of 8854

List of positive integer factors of 8854 that divides 8854 without a remainder.

1, 2, 19, 38, 233, 466, 4427, 8854

Least Common Multiple of 8849 and 8854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8849 and 8854, than apply into the LCM equation.

GCF(8849,8854) = 1
LCM(8849,8854) = ( 8849 × 8854) / 1
LCM(8849,8854) = 78349046 / 1
LCM(8849,8854) = 78349046

Properties of LCM 8849 and 8854

(i) The LCM of 8854 and 8849 is associative

LCM of 8849 and 8854 = LCM of 8854 and 8849

Related Least Common Multiples of 8849

Related Least Common Multiples of 8854

Frequently Asked Questions on LCM of 8849 and 8854

1. What is the LCM of 8849 and 8854?

Answer: LCM of 8849 and 8854 is 78349046.

2. What are the Factors of 8849?

Answer: Factors of 8849 are 1, 8849. There are 2 integers that are factors of 8849. The greatest factor of 8849 is 8849.

3. What are the Factors of 8854?

Answer: Factors of 8854 are 1, 2, 19, 38, 233, 466, 4427, 8854. There are 8 integers that are factors of 8854. The greatest factor of 8854 is 8854.

4. How to Find the LCM of 8849 and 8854?

Answer:

Least Common Multiple of 8849 and 8854 = 78349046

Step 1: Find the prime factorization of 8849

8849 = 8849

Step 2: Find the prime factorization of 8854

8854 = 2 x 19 x 233

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

LCM = 78349046 = 2 x 19 x 233 x 8849

Step 4: Therefore, the least common multiple of 8849 and 8854 is 78349046.