Least Common Multiple of 2907 and 2912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2907 and 2912 the smallest integer that is 8465184 that is divisible by both numbers.

Least Common Multiple (LCM) of 2907 and 2912 is 8465184.

LCM(2907,2912) = 8465184

LCM of 2907 and 2912

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

LCM of:
and

Least Common Multiple of 2907 and 2912

LCM of 2907 and 2912 is 8465184

Least common multiple can be found by multiplying the highest exponent prime factors of 2907 and 2912. First we will calculate the prime factors of 2907 and 2912.

Prime Factorization of 2907


3 2907
3 969
17 323
19 19
1

Prime factors of 2907 are 3, 17,19. Prime factorization of 2907 in exponential form is:

2907 = 32×171×191

Prime Factorization of 2912


2 2912
2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 2912 are 2, 7,13. Prime factorization of 2912 in exponential form is:

2912 = 25×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2907 and 2912.

LCM(2907,2912) = 25×32×71×131×171×191
LCM(2907,2912) = 8465184

Factors of 2907

List of positive integer factors of 2907 that divides 2907 without a remainder.

1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907

Factors of 2912

List of positive integer factors of 2912 that divides 2912 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

Least Common Multiple of 2907 and 2912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2907 and 2912, than apply into the LCM equation.

GCF(2907,2912) = 1
LCM(2907,2912) = ( 2907 × 2912) / 1
LCM(2907,2912) = 8465184 / 1
LCM(2907,2912) = 8465184

Properties of LCM 2907 and 2912

(i) The LCM of 2912 and 2907 is associative

LCM of 2907 and 2912 = LCM of 2912 and 2907

Related Least Common Multiples of 2907

Related Least Common Multiples of 2912

Frequently Asked Questions on LCM of 2907 and 2912

1. What is the LCM of 2907 and 2912?

Answer: LCM of 2907 and 2912 is 8465184.

2. What are the Factors of 2907?

Answer: Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907. There are 12 integers that are factors of 2907. The greatest factor of 2907 is 2907.

3. What are the Factors of 2912?

Answer: Factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912. There are 24 integers that are factors of 2912. The greatest factor of 2912 is 2912.

4. How to Find the LCM of 2907 and 2912?

Answer:

Least Common Multiple of 2907 and 2912 = 8465184

Step 1: Find the prime factorization of 2907

2907 = 3 x 3 x 17 x 19

Step 2: Find the prime factorization of 2912

2912 = 2 x 2 x 2 x 2 x 2 x 7 x 13

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

LCM = 8465184 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 2907 and 2912 is 8465184.