Least Common Multiple of 893 and 896

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 896 the smallest integer that is 800128 that is divisible by both numbers.

Least Common Multiple (LCM) of 893 and 896 is 800128.

LCM(893,896) = 800128

LCM of 893 and 896

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

LCM of:
and

Least Common Multiple of 893 and 896

LCM of 893 and 896 is 800128

Least common multiple can be found by multiplying the highest exponent prime factors of 893 and 896. First we will calculate the prime factors of 893 and 896.

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 896


2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 896 are 2,7. Prime factorization of 896 in exponential form is:

896 = 27×71

Now multiplying the highest exponent prime factors to calculate the LCM of 893 and 896.

LCM(893,896) = 27×71×191×471
LCM(893,896) = 800128

Factors of 893

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

1, 19, 47, 893

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Least Common Multiple of 893 and 896 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 896, than apply into the LCM equation.

GCF(893,896) = 1
LCM(893,896) = ( 893 × 896) / 1
LCM(893,896) = 800128 / 1
LCM(893,896) = 800128

Properties of LCM 893 and 896

(i) The LCM of 896 and 893 is associative

LCM of 893 and 896 = LCM of 896 and 893

Related Least Common Multiples of 893

Related Least Common Multiples of 896

Frequently Asked Questions on LCM of 893 and 896

1. What is the LCM of 893 and 896?

Answer: LCM of 893 and 896 is 800128.

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 896?

Answer: Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. There are 16 integers that are factors of 896. The greatest factor of 896 is 896.

4. How to Find the LCM of 893 and 896?

Answer:

Least Common Multiple of 893 and 896 = 800128

Step 1: Find the prime factorization of 893

893 = 19 x 47

Step 2: Find the prime factorization of 896

896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 800128 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19 x 47

Step 4: Therefore, the least common multiple of 893 and 896 is 800128.