Least Common Multiple of 896 and 897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 896 and 897 the smallest integer that is 803712 that is divisible by both numbers.

Least Common Multiple (LCM) of 896 and 897 is 803712.

LCM(896,897) = 803712

LCM of 896 and 897

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

LCM of:
and

Least Common Multiple of 896 and 897

LCM of 896 and 897 is 803712

Least common multiple can be found by multiplying the highest exponent prime factors of 896 and 897. First we will calculate the prime factors of 896 and 897.

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

Prime Factorization of 897


3 897
13 299
23 23
1

Prime factors of 897 are 3, 13,23. Prime factorization of 897 in exponential form is:

897 = 31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 896 and 897.

LCM(896,897) = 27×31×71×131×231
LCM(896,897) = 803712

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

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Least Common Multiple of 896 and 897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 896 and 897, than apply into the LCM equation.

GCF(896,897) = 1
LCM(896,897) = ( 896 × 897) / 1
LCM(896,897) = 803712 / 1
LCM(896,897) = 803712

Properties of LCM 896 and 897

(i) The LCM of 897 and 896 is associative

LCM of 896 and 897 = LCM of 897 and 896

Related Least Common Multiples of 896

Related Least Common Multiples of 897

Frequently Asked Questions on LCM of 896 and 897

1. What is the LCM of 896 and 897?

Answer: LCM of 896 and 897 is 803712.

2. 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.

3. What are the Factors of 897?

Answer: Factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897. There are 8 integers that are factors of 897. The greatest factor of 897 is 897.

4. How to Find the LCM of 896 and 897?

Answer:

Least Common Multiple of 896 and 897 = 803712

Step 1: Find the prime factorization of 896

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

Step 2: Find the prime factorization of 897

897 = 3 x 13 x 23

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

LCM = 803712 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 896 and 897 is 803712.