Least Common Multiple of 8854 and 8862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8854 and 8862 the smallest integer that is 39232074 that is divisible by both numbers.

Least Common Multiple (LCM) of 8854 and 8862 is 39232074.

LCM(8854,8862) = 39232074

LCM of 8854 and 8862

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

LCM of:
and

Least Common Multiple of 8854 and 8862

LCM of 8854 and 8862 is 39232074

Least common multiple can be found by multiplying the highest exponent prime factors of 8854 and 8862. First we will calculate the prime factors of 8854 and 8862.

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

Prime Factorization of 8862


2 8862
3 4431
7 1477
211 211
1

Prime factors of 8862 are 2, 3, 7,211. Prime factorization of 8862 in exponential form is:

8862 = 21×31×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 8854 and 8862.

LCM(8854,8862) = 21×31×71×191×2111×2331
LCM(8854,8862) = 39232074

Factors of 8854

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

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

Factors of 8862

List of positive integer factors of 8862 that divides 8862 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862

Least Common Multiple of 8854 and 8862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8854 and 8862, than apply into the LCM equation.

GCF(8854,8862) = 2
LCM(8854,8862) = ( 8854 × 8862) / 2
LCM(8854,8862) = 78464148 / 2
LCM(8854,8862) = 39232074

Properties of LCM 8854 and 8862

(i) The LCM of 8862 and 8854 is associative

LCM of 8854 and 8862 = LCM of 8862 and 8854

Related Least Common Multiples of 8854

Related Least Common Multiples of 8862

Frequently Asked Questions on LCM of 8854 and 8862

1. What is the LCM of 8854 and 8862?

Answer: LCM of 8854 and 8862 is 39232074.

2. 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.

3. What are the Factors of 8862?

Answer: Factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862. There are 16 integers that are factors of 8862. The greatest factor of 8862 is 8862.

4. How to Find the LCM of 8854 and 8862?

Answer:

Least Common Multiple of 8854 and 8862 = 39232074

Step 1: Find the prime factorization of 8854

8854 = 2 x 19 x 233

Step 2: Find the prime factorization of 8862

8862 = 2 x 3 x 7 x 211

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

LCM = 39232074 = 2 x 3 x 7 x 19 x 211 x 233

Step 4: Therefore, the least common multiple of 8854 and 8862 is 39232074.