Least Common Multiple of 904 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 904 and 909 the smallest integer that is 821736 that is divisible by both numbers.

Least Common Multiple (LCM) of 904 and 909 is 821736.

LCM(904,909) = 821736

LCM of 904 and 909

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

LCM of:
and

Least Common Multiple of 904 and 909

LCM of 904 and 909 is 821736

Least common multiple can be found by multiplying the highest exponent prime factors of 904 and 909. First we will calculate the prime factors of 904 and 909.

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

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 904 and 909.

LCM(904,909) = 23×32×1011×1131
LCM(904,909) = 821736

Factors of 904

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

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

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 904 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 904 and 909, than apply into the LCM equation.

GCF(904,909) = 1
LCM(904,909) = ( 904 × 909) / 1
LCM(904,909) = 821736 / 1
LCM(904,909) = 821736

Properties of LCM 904 and 909

(i) The LCM of 909 and 904 is associative

LCM of 904 and 909 = LCM of 909 and 904

Related Least Common Multiples of 904

Related Least Common Multiples of 909

Frequently Asked Questions on LCM of 904 and 909

1. What is the LCM of 904 and 909?

Answer: LCM of 904 and 909 is 821736.

2. 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.

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 904 and 909?

Answer:

Least Common Multiple of 904 and 909 = 821736

Step 1: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

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 = 821736 = 2 x 2 x 2 x 3 x 3 x 101 x 113

Step 4: Therefore, the least common multiple of 904 and 909 is 821736.