Least Common Multiple of 896 and 901

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 901 the smallest integer that is 807296 that is divisible by both numbers.

Least Common Multiple (LCM) of 896 and 901 is 807296.

LCM(896,901) = 807296

LCM of 896 and 901

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

LCM of:
and

Least Common Multiple of 896 and 901

LCM of 896 and 901 is 807296

Least common multiple can be found by multiplying the highest exponent prime factors of 896 and 901. First we will calculate the prime factors of 896 and 901.

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 901


17 901
53 53
1

Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:

901 = 171×531

Now multiplying the highest exponent prime factors to calculate the LCM of 896 and 901.

LCM(896,901) = 27×71×171×531
LCM(896,901) = 807296

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 901

List of positive integer factors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Least Common Multiple of 896 and 901 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 901, than apply into the LCM equation.

GCF(896,901) = 1
LCM(896,901) = ( 896 × 901) / 1
LCM(896,901) = 807296 / 1
LCM(896,901) = 807296

Properties of LCM 896 and 901

(i) The LCM of 901 and 896 is associative

LCM of 896 and 901 = LCM of 901 and 896

Related Least Common Multiples of 896

Related Least Common Multiples of 901

Frequently Asked Questions on LCM of 896 and 901

1. What is the LCM of 896 and 901?

Answer: LCM of 896 and 901 is 807296.

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 901?

Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.

4. How to Find the LCM of 896 and 901?

Answer:

Least Common Multiple of 896 and 901 = 807296

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 901

901 = 17 x 53

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

LCM = 807296 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 53

Step 4: Therefore, the least common multiple of 896 and 901 is 807296.