Least Common Multiple of 909 and 912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 909 and 912 the smallest integer that is 276336 that is divisible by both numbers.

Least Common Multiple (LCM) of 909 and 912 is 276336.

LCM(909,912) = 276336

LCM of 909 and 912

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

LCM of:
and

Least Common Multiple of 909 and 912

LCM of 909 and 912 is 276336

Least common multiple can be found by multiplying the highest exponent prime factors of 909 and 912. First we will calculate the prime factors of 909 and 912.

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

Prime Factorization of 912


2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 912 are 2, 3,19. Prime factorization of 912 in exponential form is:

912 = 24×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 909 and 912.

LCM(909,912) = 24×32×191×1011
LCM(909,912) = 276336

Factors of 909

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

1, 3, 9, 101, 303, 909

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Least Common Multiple of 909 and 912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 909 and 912, than apply into the LCM equation.

GCF(909,912) = 3
LCM(909,912) = ( 909 × 912) / 3
LCM(909,912) = 829008 / 3
LCM(909,912) = 276336

Properties of LCM 909 and 912

(i) The LCM of 912 and 909 is associative

LCM of 909 and 912 = LCM of 912 and 909

Related Least Common Multiples of 909

Related Least Common Multiples of 912

Frequently Asked Questions on LCM of 909 and 912

1. What is the LCM of 909 and 912?

Answer: LCM of 909 and 912 is 276336.

2. 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.

3. What are the Factors of 912?

Answer: Factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912. There are 20 integers that are factors of 912. The greatest factor of 912 is 912.

4. How to Find the LCM of 909 and 912?

Answer:

Least Common Multiple of 909 and 912 = 276336

Step 1: Find the prime factorization of 909

909 = 3 x 3 x 101

Step 2: Find the prime factorization of 912

912 = 2 x 2 x 2 x 2 x 3 x 19

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

LCM = 276336 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 101

Step 4: Therefore, the least common multiple of 909 and 912 is 276336.