Least Common Multiple of 904 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 904 and 912 the smallest integer that is 103056 that is divisible by both numbers.

Least Common Multiple (LCM) of 904 and 912 is 103056.

LCM(904,912) = 103056

LCM of 904 and 912

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

LCM of:
and

Least Common Multiple of 904 and 912

LCM of 904 and 912 is 103056

Least common multiple can be found by multiplying the highest exponent prime factors of 904 and 912. First we will calculate the prime factors of 904 and 912.

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 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 904 and 912.

LCM(904,912) = 24×31×191×1131
LCM(904,912) = 103056

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 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 904 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 904 and 912, than apply into the LCM equation.

GCF(904,912) = 8
LCM(904,912) = ( 904 × 912) / 8
LCM(904,912) = 824448 / 8
LCM(904,912) = 103056

Properties of LCM 904 and 912

(i) The LCM of 912 and 904 is associative

LCM of 904 and 912 = LCM of 912 and 904

Related Least Common Multiples of 904

Related Least Common Multiples of 912

Frequently Asked Questions on LCM of 904 and 912

1. What is the LCM of 904 and 912?

Answer: LCM of 904 and 912 is 103056.

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 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 904 and 912?

Answer:

Least Common Multiple of 904 and 912 = 103056

Step 1: Find the prime factorization of 904

904 = 2 x 2 x 2 x 113

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 = 103056 = 2 x 2 x 2 x 2 x 3 x 19 x 113

Step 4: Therefore, the least common multiple of 904 and 912 is 103056.