Least Common Multiple of 906 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 906 and 912 the smallest integer that is 137712 that is divisible by both numbers.

Least Common Multiple (LCM) of 906 and 912 is 137712.

LCM(906,912) = 137712

LCM of 906 and 912

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

LCM of:
and

Least Common Multiple of 906 and 912

LCM of 906 and 912 is 137712

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 912. First we will calculate the prime factors of 906 and 912.

Prime Factorization of 906


2 906
3 453
151 151
1

Prime factors of 906 are 2, 3,151. Prime factorization of 906 in exponential form is:

906 = 21×31×1511

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 906 and 912.

LCM(906,912) = 24×31×191×1511
LCM(906,912) = 137712

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

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 906 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 906 and 912, than apply into the LCM equation.

GCF(906,912) = 6
LCM(906,912) = ( 906 × 912) / 6
LCM(906,912) = 826272 / 6
LCM(906,912) = 137712

Properties of LCM 906 and 912

(i) The LCM of 912 and 906 is associative

LCM of 906 and 912 = LCM of 912 and 906

Related Least Common Multiples of 906

Related Least Common Multiples of 912

Frequently Asked Questions on LCM of 906 and 912

1. What is the LCM of 906 and 912?

Answer: LCM of 906 and 912 is 137712.

2. What are the Factors of 906?

Answer: Factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906. There are 8 integers that are factors of 906. The greatest factor of 906 is 906.

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 906 and 912?

Answer:

Least Common Multiple of 906 and 912 = 137712

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

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 = 137712 = 2 x 2 x 2 x 2 x 3 x 19 x 151

Step 4: Therefore, the least common multiple of 906 and 912 is 137712.