Least Common Multiple of 892 and 893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 892 and 893 the smallest integer that is 796556 that is divisible by both numbers.

Least Common Multiple (LCM) of 892 and 893 is 796556.

LCM(892,893) = 796556

LCM of 892 and 893

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

LCM of:
and

Least Common Multiple of 892 and 893

LCM of 892 and 893 is 796556

Least common multiple can be found by multiplying the highest exponent prime factors of 892 and 893. First we will calculate the prime factors of 892 and 893.

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

Prime Factorization of 893


19 893
47 47
1

Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:

893 = 191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 892 and 893.

LCM(892,893) = 22×191×471×2231
LCM(892,893) = 796556

Factors of 892

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

1, 2, 4, 223, 446, 892

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Least Common Multiple of 892 and 893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 892 and 893, than apply into the LCM equation.

GCF(892,893) = 1
LCM(892,893) = ( 892 × 893) / 1
LCM(892,893) = 796556 / 1
LCM(892,893) = 796556

Properties of LCM 892 and 893

(i) The LCM of 893 and 892 is associative

LCM of 892 and 893 = LCM of 893 and 892

Related Least Common Multiples of 892

Related Least Common Multiples of 893

Frequently Asked Questions on LCM of 892 and 893

1. What is the LCM of 892 and 893?

Answer: LCM of 892 and 893 is 796556.

2. 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.

3. What are the Factors of 893?

Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.

4. How to Find the LCM of 892 and 893?

Answer:

Least Common Multiple of 892 and 893 = 796556

Step 1: Find the prime factorization of 892

892 = 2 x 2 x 223

Step 2: Find the prime factorization of 893

893 = 19 x 47

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

LCM = 796556 = 2 x 2 x 19 x 47 x 223

Step 4: Therefore, the least common multiple of 892 and 893 is 796556.