Least Common Multiple of 8854 and 8860

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 8860 the smallest integer that is 39223220 that is divisible by both numbers.

Least Common Multiple (LCM) of 8854 and 8860 is 39223220.

LCM(8854,8860) = 39223220

LCM of 8854 and 8860

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

LCM of:
and

Least Common Multiple of 8854 and 8860

LCM of 8854 and 8860 is 39223220

Least common multiple can be found by multiplying the highest exponent prime factors of 8854 and 8860. First we will calculate the prime factors of 8854 and 8860.

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 8860


2 8860
2 4430
5 2215
443 443
1

Prime factors of 8860 are 2, 5,443. Prime factorization of 8860 in exponential form is:

8860 = 22×51×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 8854 and 8860.

LCM(8854,8860) = 22×51×191×2331×4431
LCM(8854,8860) = 39223220

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 8860

List of positive integer factors of 8860 that divides 8860 without a remainder.

1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860

Least Common Multiple of 8854 and 8860 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 8860, than apply into the LCM equation.

GCF(8854,8860) = 2
LCM(8854,8860) = ( 8854 × 8860) / 2
LCM(8854,8860) = 78446440 / 2
LCM(8854,8860) = 39223220

Properties of LCM 8854 and 8860

(i) The LCM of 8860 and 8854 is associative

LCM of 8854 and 8860 = LCM of 8860 and 8854

Related Least Common Multiples of 8854

Related Least Common Multiples of 8860

Frequently Asked Questions on LCM of 8854 and 8860

1. What is the LCM of 8854 and 8860?

Answer: LCM of 8854 and 8860 is 39223220.

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 8860?

Answer: Factors of 8860 are 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860. There are 12 integers that are factors of 8860. The greatest factor of 8860 is 8860.

4. How to Find the LCM of 8854 and 8860?

Answer:

Least Common Multiple of 8854 and 8860 = 39223220

Step 1: Find the prime factorization of 8854

8854 = 2 x 19 x 233

Step 2: Find the prime factorization of 8860

8860 = 2 x 2 x 5 x 443

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

LCM = 39223220 = 2 x 2 x 5 x 19 x 233 x 443

Step 4: Therefore, the least common multiple of 8854 and 8860 is 39223220.