Least Common Multiple of 893 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 893 and 894 the smallest integer that is 798342 that is divisible by both numbers.

Least Common Multiple (LCM) of 893 and 894 is 798342.

LCM(893,894) = 798342

LCM of 893 and 894

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

LCM of:
and

Least Common Multiple of 893 and 894

LCM of 893 and 894 is 798342

Least common multiple can be found by multiplying the highest exponent prime factors of 893 and 894. First we will calculate the prime factors of 893 and 894.

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

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 893 and 894.

LCM(893,894) = 21×31×191×471×1491
LCM(893,894) = 798342

Factors of 893

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

1, 19, 47, 893

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 893 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 893 and 894, than apply into the LCM equation.

GCF(893,894) = 1
LCM(893,894) = ( 893 × 894) / 1
LCM(893,894) = 798342 / 1
LCM(893,894) = 798342

Properties of LCM 893 and 894

(i) The LCM of 894 and 893 is associative

LCM of 893 and 894 = LCM of 894 and 893

Related Least Common Multiples of 893

Related Least Common Multiples of 894

Frequently Asked Questions on LCM of 893 and 894

1. What is the LCM of 893 and 894?

Answer: LCM of 893 and 894 is 798342.

2. 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.

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 893 and 894?

Answer:

Least Common Multiple of 893 and 894 = 798342

Step 1: Find the prime factorization of 893

893 = 19 x 47

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 = 798342 = 2 x 3 x 19 x 47 x 149

Step 4: Therefore, the least common multiple of 893 and 894 is 798342.