Least Common Multiple of 886 and 892

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 892 the smallest integer that is 395156 that is divisible by both numbers.

Least Common Multiple (LCM) of 886 and 892 is 395156.

LCM(886,892) = 395156

LCM of 886 and 892

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

LCM of:
and

Least Common Multiple of 886 and 892

LCM of 886 and 892 is 395156

Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 892. First we will calculate the prime factors of 886 and 892.

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 892


2 892
2 446
223 223
1

Prime factors of 892 are 2,223. Prime factorization of 892 in exponential form is:

892 = 22×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 886 and 892.

LCM(886,892) = 22×2231×4431
LCM(886,892) = 395156

Factors of 886

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

1, 2, 443, 886

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Least Common Multiple of 886 and 892 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 892, than apply into the LCM equation.

GCF(886,892) = 2
LCM(886,892) = ( 886 × 892) / 2
LCM(886,892) = 790312 / 2
LCM(886,892) = 395156

Properties of LCM 886 and 892

(i) The LCM of 892 and 886 is associative

LCM of 886 and 892 = LCM of 892 and 886

Related Least Common Multiples of 886

Related Least Common Multiples of 892

Frequently Asked Questions on LCM of 886 and 892

1. What is the LCM of 886 and 892?

Answer: LCM of 886 and 892 is 395156.

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 892?

Answer: Factors of 892 are 1, 2, 4, 223, 446, 892. There are 6 integers that are factors of 892. The greatest factor of 892 is 892.

4. How to Find the LCM of 886 and 892?

Answer:

Least Common Multiple of 886 and 892 = 395156

Step 1: Find the prime factorization of 886

886 = 2 x 443

Step 2: Find the prime factorization of 892

892 = 2 x 2 x 223

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

LCM = 395156 = 2 x 2 x 223 x 443

Step 4: Therefore, the least common multiple of 886 and 892 is 395156.