Least Common Multiple of 899 and 903

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 903 the smallest integer that is 811797 that is divisible by both numbers.

Least Common Multiple (LCM) of 899 and 903 is 811797.

LCM(899,903) = 811797

LCM of 899 and 903

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

LCM of:
and

Least Common Multiple of 899 and 903

LCM of 899 and 903 is 811797

Least common multiple can be found by multiplying the highest exponent prime factors of 899 and 903. First we will calculate the prime factors of 899 and 903.

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 903


3 903
7 301
43 43
1

Prime factors of 903 are 3, 7,43. Prime factorization of 903 in exponential form is:

903 = 31×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 899 and 903.

LCM(899,903) = 31×71×291×311×431
LCM(899,903) = 811797

Factors of 899

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

1, 29, 31, 899

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Least Common Multiple of 899 and 903 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 903, than apply into the LCM equation.

GCF(899,903) = 1
LCM(899,903) = ( 899 × 903) / 1
LCM(899,903) = 811797 / 1
LCM(899,903) = 811797

Properties of LCM 899 and 903

(i) The LCM of 903 and 899 is associative

LCM of 899 and 903 = LCM of 903 and 899

Frequently Asked Questions on LCM of 899 and 903

1. What is the LCM of 899 and 903?

Answer: LCM of 899 and 903 is 811797.

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 903?

Answer: Factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903. There are 8 integers that are factors of 903. The greatest factor of 903 is 903.

4. How to Find the LCM of 899 and 903?

Answer:

Least Common Multiple of 899 and 903 = 811797

Step 1: Find the prime factorization of 899

899 = 29 x 31

Step 2: Find the prime factorization of 903

903 = 3 x 7 x 43

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

LCM = 811797 = 3 x 7 x 29 x 31 x 43

Step 4: Therefore, the least common multiple of 899 and 903 is 811797.