Least Common Multiple of 889 and 895

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 895 the smallest integer that is 795655 that is divisible by both numbers.

Least Common Multiple (LCM) of 889 and 895 is 795655.

LCM(889,895) = 795655

LCM of 889 and 895

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

LCM of:
and

Least Common Multiple of 889 and 895

LCM of 889 and 895 is 795655

Least common multiple can be found by multiplying the highest exponent prime factors of 889 and 895. First we will calculate the prime factors of 889 and 895.

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 895


5 895
179 179
1

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

895 = 51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 889 and 895.

LCM(889,895) = 51×71×1271×1791
LCM(889,895) = 795655

Factors of 889

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

1, 7, 127, 889

Factors of 895

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

1, 5, 179, 895

Least Common Multiple of 889 and 895 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 895, than apply into the LCM equation.

GCF(889,895) = 1
LCM(889,895) = ( 889 × 895) / 1
LCM(889,895) = 795655 / 1
LCM(889,895) = 795655

Properties of LCM 889 and 895

(i) The LCM of 895 and 889 is associative

LCM of 889 and 895 = LCM of 895 and 889

Related Least Common Multiples of 889

Related Least Common Multiples of 895

Frequently Asked Questions on LCM of 889 and 895

1. What is the LCM of 889 and 895?

Answer: LCM of 889 and 895 is 795655.

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 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.

4. How to Find the LCM of 889 and 895?

Answer:

Least Common Multiple of 889 and 895 = 795655

Step 1: Find the prime factorization of 889

889 = 7 x 127

Step 2: Find the prime factorization of 895

895 = 5 x 179

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

LCM = 795655 = 5 x 7 x 127 x 179

Step 4: Therefore, the least common multiple of 889 and 895 is 795655.