Least Common Multiple of 889 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 889 and 896 the smallest integer that is 113792 that is divisible by both numbers.

Least Common Multiple (LCM) of 889 and 896 is 113792.

LCM(889,896) = 113792

LCM of 889 and 896

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

LCM of:
and

Least Common Multiple of 889 and 896

LCM of 889 and 896 is 113792

Least common multiple can be found by multiplying the highest exponent prime factors of 889 and 896. First we will calculate the prime factors of 889 and 896.

Prime Factorization of 889


7 889
127 127
1

Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:

889 = 71×1271

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 889 and 896.

LCM(889,896) = 27×71×1271
LCM(889,896) = 113792

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1, 7, 127, 889

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 889 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 889 and 896, than apply into the LCM equation.

GCF(889,896) = 7
LCM(889,896) = ( 889 × 896) / 7
LCM(889,896) = 796544 / 7
LCM(889,896) = 113792

Properties of LCM 889 and 896

(i) The LCM of 896 and 889 is associative

LCM of 889 and 896 = LCM of 896 and 889

Related Least Common Multiples of 889

Related Least Common Multiples of 896

Frequently Asked Questions on LCM of 889 and 896

1. What is the LCM of 889 and 896?

Answer: LCM of 889 and 896 is 113792.

2. What are the Factors of 889?

Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.

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 889 and 896?

Answer:

Least Common Multiple of 889 and 896 = 113792

Step 1: Find the prime factorization of 889

889 = 7 x 127

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 = 113792 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 127

Step 4: Therefore, the least common multiple of 889 and 896 is 113792.