Least Common Multiple of 885 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 885 and 892 the smallest integer that is 789420 that is divisible by both numbers.

Least Common Multiple (LCM) of 885 and 892 is 789420.

LCM(885,892) = 789420

LCM of 885 and 892

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

LCM of:
and

Least Common Multiple of 885 and 892

LCM of 885 and 892 is 789420

Least common multiple can be found by multiplying the highest exponent prime factors of 885 and 892. First we will calculate the prime factors of 885 and 892.

Prime Factorization of 885


3 885
5 295
59 59
1

Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

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 885 and 892.

LCM(885,892) = 22×31×51×591×2231
LCM(885,892) = 789420

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

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 885 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 885 and 892, than apply into the LCM equation.

GCF(885,892) = 1
LCM(885,892) = ( 885 × 892) / 1
LCM(885,892) = 789420 / 1
LCM(885,892) = 789420

Properties of LCM 885 and 892

(i) The LCM of 892 and 885 is associative

LCM of 885 and 892 = LCM of 892 and 885

Related Least Common Multiples of 885

Related Least Common Multiples of 892

Frequently Asked Questions on LCM of 885 and 892

1. What is the LCM of 885 and 892?

Answer: LCM of 885 and 892 is 789420.

2. What are the Factors of 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

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 885 and 892?

Answer:

Least Common Multiple of 885 and 892 = 789420

Step 1: Find the prime factorization of 885

885 = 3 x 5 x 59

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 = 789420 = 2 x 2 x 3 x 5 x 59 x 223

Step 4: Therefore, the least common multiple of 885 and 892 is 789420.