Least Common Multiple of 886 and 894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 886 and 894 the smallest integer that is 396042 that is divisible by both numbers.

Least Common Multiple (LCM) of 886 and 894 is 396042.

LCM(886,894) = 396042

LCM of 886 and 894

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

LCM of:
and

Least Common Multiple of 886 and 894

LCM of 886 and 894 is 396042

Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 894. First we will calculate the prime factors of 886 and 894.

Prime Factorization of 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

Prime Factorization of 894


2 894
3 447
149 149
1

Prime factors of 894 are 2, 3,149. Prime factorization of 894 in exponential form is:

894 = 21×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 886 and 894.

LCM(886,894) = 21×31×1491×4431
LCM(886,894) = 396042

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Least Common Multiple of 886 and 894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 886 and 894, than apply into the LCM equation.

GCF(886,894) = 2
LCM(886,894) = ( 886 × 894) / 2
LCM(886,894) = 792084 / 2
LCM(886,894) = 396042

Properties of LCM 886 and 894

(i) The LCM of 894 and 886 is associative

LCM of 886 and 894 = LCM of 894 and 886

Related Least Common Multiples of 886

Related Least Common Multiples of 894

Frequently Asked Questions on LCM of 886 and 894

1. What is the LCM of 886 and 894?

Answer: LCM of 886 and 894 is 396042.

2. What are the Factors of 886?

Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.

3. What are the Factors of 894?

Answer: Factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894. There are 8 integers that are factors of 894. The greatest factor of 894 is 894.

4. How to Find the LCM of 886 and 894?

Answer:

Least Common Multiple of 886 and 894 = 396042

Step 1: Find the prime factorization of 886

886 = 2 x 443

Step 2: Find the prime factorization of 894

894 = 2 x 3 x 149

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

LCM = 396042 = 2 x 3 x 149 x 443

Step 4: Therefore, the least common multiple of 886 and 894 is 396042.