Least Common Multiple of 903 and 904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 903 and 904 the smallest integer that is 816312 that is divisible by both numbers.

Least Common Multiple (LCM) of 903 and 904 is 816312.

LCM(903,904) = 816312

LCM of 903 and 904

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

LCM of:
and

Least Common Multiple of 903 and 904

LCM of 903 and 904 is 816312

Least common multiple can be found by multiplying the highest exponent prime factors of 903 and 904. First we will calculate the prime factors of 903 and 904.

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

Prime Factorization of 904


2 904
2 452
2 226
113 113
1

Prime factors of 904 are 2,113. Prime factorization of 904 in exponential form is:

904 = 23×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 903 and 904.

LCM(903,904) = 23×31×71×431×1131
LCM(903,904) = 816312

Factors of 903

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

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

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Least Common Multiple of 903 and 904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 903 and 904, than apply into the LCM equation.

GCF(903,904) = 1
LCM(903,904) = ( 903 × 904) / 1
LCM(903,904) = 816312 / 1
LCM(903,904) = 816312

Properties of LCM 903 and 904

(i) The LCM of 904 and 903 is associative

LCM of 903 and 904 = LCM of 904 and 903

Related Least Common Multiples of 903

Related Least Common Multiples of 904

Frequently Asked Questions on LCM of 903 and 904

1. What is the LCM of 903 and 904?

Answer: LCM of 903 and 904 is 816312.

2. 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.

3. What are the Factors of 904?

Answer: Factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904. There are 8 integers that are factors of 904. The greatest factor of 904 is 904.

4. How to Find the LCM of 903 and 904?

Answer:

Least Common Multiple of 903 and 904 = 816312

Step 1: Find the prime factorization of 903

903 = 3 x 7 x 43

Step 2: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

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

LCM = 816312 = 2 x 2 x 2 x 3 x 7 x 43 x 113

Step 4: Therefore, the least common multiple of 903 and 904 is 816312.