Least Common Multiple of 887 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 887 and 892 the smallest integer that is 791204 that is divisible by both numbers.

Least Common Multiple (LCM) of 887 and 892 is 791204.

LCM(887,892) = 791204

LCM of 887 and 892

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

LCM of:
and

Least Common Multiple of 887 and 892

LCM of 887 and 892 is 791204

Least common multiple can be found by multiplying the highest exponent prime factors of 887 and 892. First we will calculate the prime factors of 887 and 892.

Prime Factorization of 887


887 887
1

Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:

887 = 8871

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 887 and 892.

LCM(887,892) = 22×2231×8871
LCM(887,892) = 791204

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1, 887

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 887 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 887 and 892, than apply into the LCM equation.

GCF(887,892) = 1
LCM(887,892) = ( 887 × 892) / 1
LCM(887,892) = 791204 / 1
LCM(887,892) = 791204

Properties of LCM 887 and 892

(i) The LCM of 892 and 887 is associative

LCM of 887 and 892 = LCM of 892 and 887

Related Least Common Multiples of 887

Related Least Common Multiples of 892

Frequently Asked Questions on LCM of 887 and 892

1. What is the LCM of 887 and 892?

Answer: LCM of 887 and 892 is 791204.

2. What are the Factors of 887?

Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.

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 887 and 892?

Answer:

Least Common Multiple of 887 and 892 = 791204

Step 1: Find the prime factorization of 887

887 = 887

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 = 791204 = 2 x 2 x 223 x 887

Step 4: Therefore, the least common multiple of 887 and 892 is 791204.