Least Common Multiple of 895 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 895 and 896 the smallest integer that is 801920 that is divisible by both numbers.

Least Common Multiple (LCM) of 895 and 896 is 801920.

LCM(895,896) = 801920

LCM of 895 and 896

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

LCM of:
and

Least Common Multiple of 895 and 896

LCM of 895 and 896 is 801920

Least common multiple can be found by multiplying the highest exponent prime factors of 895 and 896. First we will calculate the prime factors of 895 and 896.

Prime Factorization of 895


5 895
179 179
1

Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:

895 = 51×1791

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 895 and 896.

LCM(895,896) = 27×51×71×1791
LCM(895,896) = 801920

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1, 5, 179, 895

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 895 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 895 and 896, than apply into the LCM equation.

GCF(895,896) = 1
LCM(895,896) = ( 895 × 896) / 1
LCM(895,896) = 801920 / 1
LCM(895,896) = 801920

Properties of LCM 895 and 896

(i) The LCM of 896 and 895 is associative

LCM of 895 and 896 = LCM of 896 and 895

Related Least Common Multiples of 895

Related Least Common Multiples of 896

Frequently Asked Questions on LCM of 895 and 896

1. What is the LCM of 895 and 896?

Answer: LCM of 895 and 896 is 801920.

2. What are the Factors of 895?

Answer: Factors of 895 are 1, 5, 179, 895. There are 4 integers that are factors of 895. The greatest factor of 895 is 895.

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 895 and 896?

Answer:

Least Common Multiple of 895 and 896 = 801920

Step 1: Find the prime factorization of 895

895 = 5 x 179

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 = 801920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 179

Step 4: Therefore, the least common multiple of 895 and 896 is 801920.