Least Common Multiple of 895 and 902

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 902 the smallest integer that is 807290 that is divisible by both numbers.

Least Common Multiple (LCM) of 895 and 902 is 807290.

LCM(895,902) = 807290

LCM of 895 and 902

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

LCM of:
and

Least Common Multiple of 895 and 902

LCM of 895 and 902 is 807290

Least common multiple can be found by multiplying the highest exponent prime factors of 895 and 902. First we will calculate the prime factors of 895 and 902.

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 902


2 902
11 451
41 41
1

Prime factors of 902 are 2, 11,41. Prime factorization of 902 in exponential form is:

902 = 21×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 895 and 902.

LCM(895,902) = 21×51×111×411×1791
LCM(895,902) = 807290

Factors of 895

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

1, 5, 179, 895

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Least Common Multiple of 895 and 902 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 902, than apply into the LCM equation.

GCF(895,902) = 1
LCM(895,902) = ( 895 × 902) / 1
LCM(895,902) = 807290 / 1
LCM(895,902) = 807290

Properties of LCM 895 and 902

(i) The LCM of 902 and 895 is associative

LCM of 895 and 902 = LCM of 902 and 895

Related Least Common Multiples of 895

Related Least Common Multiples of 902

Frequently Asked Questions on LCM of 895 and 902

1. What is the LCM of 895 and 902?

Answer: LCM of 895 and 902 is 807290.

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 902?

Answer: Factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902. There are 8 integers that are factors of 902. The greatest factor of 902 is 902.

4. How to Find the LCM of 895 and 902?

Answer:

Least Common Multiple of 895 and 902 = 807290

Step 1: Find the prime factorization of 895

895 = 5 x 179

Step 2: Find the prime factorization of 902

902 = 2 x 11 x 41

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

LCM = 807290 = 2 x 5 x 11 x 41 x 179

Step 4: Therefore, the least common multiple of 895 and 902 is 807290.