Least Common Multiple of 903 and 907

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 907 the smallest integer that is 819021 that is divisible by both numbers.

Least Common Multiple (LCM) of 903 and 907 is 819021.

LCM(903,907) = 819021

LCM of 903 and 907

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

LCM of:
and

Least Common Multiple of 903 and 907

LCM of 903 and 907 is 819021

Least common multiple can be found by multiplying the highest exponent prime factors of 903 and 907. First we will calculate the prime factors of 903 and 907.

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 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 903 and 907.

LCM(903,907) = 31×71×431×9071
LCM(903,907) = 819021

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 907

List of positive integer factors of 907 that divides 907 without a remainder.

1, 907

Least Common Multiple of 903 and 907 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 907, than apply into the LCM equation.

GCF(903,907) = 1
LCM(903,907) = ( 903 × 907) / 1
LCM(903,907) = 819021 / 1
LCM(903,907) = 819021

Properties of LCM 903 and 907

(i) The LCM of 907 and 903 is associative

LCM of 903 and 907 = LCM of 907 and 903

Related Least Common Multiples of 903

Related Least Common Multiples of 907

Frequently Asked Questions on LCM of 903 and 907

1. What is the LCM of 903 and 907?

Answer: LCM of 903 and 907 is 819021.

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 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

4. How to Find the LCM of 903 and 907?

Answer:

Least Common Multiple of 903 and 907 = 819021

Step 1: Find the prime factorization of 903

903 = 3 x 7 x 43

Step 2: Find the prime factorization of 907

907 = 907

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

LCM = 819021 = 3 x 7 x 43 x 907

Step 4: Therefore, the least common multiple of 903 and 907 is 819021.