Least Common Multiple of 903 and 909

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 909 the smallest integer that is 273609 that is divisible by both numbers.

Least Common Multiple (LCM) of 903 and 909 is 273609.

LCM(903,909) = 273609

LCM of 903 and 909

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

LCM of:
and

Least Common Multiple of 903 and 909

LCM of 903 and 909 is 273609

Least common multiple can be found by multiplying the highest exponent prime factors of 903 and 909. First we will calculate the prime factors of 903 and 909.

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 909


3 909
3 303
101 101
1

Prime factors of 909 are 3,101. Prime factorization of 909 in exponential form is:

909 = 32×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 903 and 909.

LCM(903,909) = 32×71×431×1011
LCM(903,909) = 273609

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 909

List of positive integer factors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Least Common Multiple of 903 and 909 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 909, than apply into the LCM equation.

GCF(903,909) = 3
LCM(903,909) = ( 903 × 909) / 3
LCM(903,909) = 820827 / 3
LCM(903,909) = 273609

Properties of LCM 903 and 909

(i) The LCM of 909 and 903 is associative

LCM of 903 and 909 = LCM of 909 and 903

Related Least Common Multiples of 903

Related Least Common Multiples of 909

Frequently Asked Questions on LCM of 903 and 909

1. What is the LCM of 903 and 909?

Answer: LCM of 903 and 909 is 273609.

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 909?

Answer: Factors of 909 are 1, 3, 9, 101, 303, 909. There are 6 integers that are factors of 909. The greatest factor of 909 is 909.

4. How to Find the LCM of 903 and 909?

Answer:

Least Common Multiple of 903 and 909 = 273609

Step 1: Find the prime factorization of 903

903 = 3 x 7 x 43

Step 2: Find the prime factorization of 909

909 = 3 x 3 x 101

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

LCM = 273609 = 3 x 3 x 7 x 43 x 101

Step 4: Therefore, the least common multiple of 903 and 909 is 273609.