Least Common Multiple of 902 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 902 and 903 the smallest integer that is 814506 that is divisible by both numbers.

Least Common Multiple (LCM) of 902 and 903 is 814506.

LCM(902,903) = 814506

LCM of 902 and 903

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

LCM of:
and

Least Common Multiple of 902 and 903

LCM of 902 and 903 is 814506

Least common multiple can be found by multiplying the highest exponent prime factors of 902 and 903. First we will calculate the prime factors of 902 and 903.

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

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 902 and 903.

LCM(902,903) = 21×31×71×111×411×431
LCM(902,903) = 814506

Factors of 902

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

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

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 902 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 902 and 903, than apply into the LCM equation.

GCF(902,903) = 1
LCM(902,903) = ( 902 × 903) / 1
LCM(902,903) = 814506 / 1
LCM(902,903) = 814506

Properties of LCM 902 and 903

(i) The LCM of 903 and 902 is associative

LCM of 902 and 903 = LCM of 903 and 902

Related Least Common Multiples of 902

Related Least Common Multiples of 903

Frequently Asked Questions on LCM of 902 and 903

1. What is the LCM of 902 and 903?

Answer: LCM of 902 and 903 is 814506.

2. 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.

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 902 and 903?

Answer:

Least Common Multiple of 902 and 903 = 814506

Step 1: Find the prime factorization of 902

902 = 2 x 11 x 41

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 = 814506 = 2 x 3 x 7 x 11 x 41 x 43

Step 4: Therefore, the least common multiple of 902 and 903 is 814506.