Least Common Multiple of 899 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 899 and 900 the smallest integer that is 809100 that is divisible by both numbers.

Least Common Multiple (LCM) of 899 and 900 is 809100.

LCM(899,900) = 809100

LCM of 899 and 900

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

LCM of:
and

Least Common Multiple of 899 and 900

LCM of 899 and 900 is 809100

Least common multiple can be found by multiplying the highest exponent prime factors of 899 and 900. First we will calculate the prime factors of 899 and 900.

Prime Factorization of 899


29 899
31 31
1

Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:

899 = 291×311

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 899 and 900.

LCM(899,900) = 22×32×52×291×311
LCM(899,900) = 809100

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 899 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 899 and 900, than apply into the LCM equation.

GCF(899,900) = 1
LCM(899,900) = ( 899 × 900) / 1
LCM(899,900) = 809100 / 1
LCM(899,900) = 809100

Properties of LCM 899 and 900

(i) The LCM of 900 and 899 is associative

LCM of 899 and 900 = LCM of 900 and 899

Related Least Common Multiples of 899

Related Least Common Multiples of 900

Frequently Asked Questions on LCM of 899 and 900

1. What is the LCM of 899 and 900?

Answer: LCM of 899 and 900 is 809100.

2. What are the Factors of 899?

Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.

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 899 and 900?

Answer:

Least Common Multiple of 899 and 900 = 809100

Step 1: Find the prime factorization of 899

899 = 29 x 31

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 = 809100 = 2 x 2 x 3 x 3 x 5 x 5 x 29 x 31

Step 4: Therefore, the least common multiple of 899 and 900 is 809100.