Least Common Multiple of 895 and 900

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 900 the smallest integer that is 161100 that is divisible by both numbers.

Least Common Multiple (LCM) of 895 and 900 is 161100.

LCM(895,900) = 161100

LCM of 895 and 900

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

LCM of:
and

Least Common Multiple of 895 and 900

LCM of 895 and 900 is 161100

Least common multiple can be found by multiplying the highest exponent prime factors of 895 and 900. First we will calculate the prime factors of 895 and 900.

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 900


2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 900 are 2, 3,5. Prime factorization of 900 in exponential form is:

900 = 22×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 895 and 900.

LCM(895,900) = 22×32×52×1791
LCM(895,900) = 161100

Factors of 895

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

1, 5, 179, 895

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Least Common Multiple of 895 and 900 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 900, than apply into the LCM equation.

GCF(895,900) = 5
LCM(895,900) = ( 895 × 900) / 5
LCM(895,900) = 805500 / 5
LCM(895,900) = 161100

Properties of LCM 895 and 900

(i) The LCM of 900 and 895 is associative

LCM of 895 and 900 = LCM of 900 and 895

Related Least Common Multiples of 895

Related Least Common Multiples of 900

Frequently Asked Questions on LCM of 895 and 900

1. What is the LCM of 895 and 900?

Answer: LCM of 895 and 900 is 161100.

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 900?

Answer: Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. There are 27 integers that are factors of 900. The greatest factor of 900 is 900.

4. How to Find the LCM of 895 and 900?

Answer:

Least Common Multiple of 895 and 900 = 161100

Step 1: Find the prime factorization of 895

895 = 5 x 179

Step 2: Find the prime factorization of 900

900 = 2 x 2 x 3 x 3 x 5 x 5

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

LCM = 161100 = 2 x 2 x 3 x 3 x 5 x 5 x 179

Step 4: Therefore, the least common multiple of 895 and 900 is 161100.