Least Common Multiple of 912 and 917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 912 and 917 the smallest integer that is 836304 that is divisible by both numbers.

Least Common Multiple (LCM) of 912 and 917 is 836304.

LCM(912,917) = 836304

LCM of 912 and 917

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

LCM of:
and

Least Common Multiple of 912 and 917

LCM of 912 and 917 is 836304

Least common multiple can be found by multiplying the highest exponent prime factors of 912 and 917. First we will calculate the prime factors of 912 and 917.

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

Prime Factorization of 917


7 917
131 131
1

Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:

917 = 71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 912 and 917.

LCM(912,917) = 24×31×71×191×1311
LCM(912,917) = 836304

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

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Least Common Multiple of 912 and 917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 912 and 917, than apply into the LCM equation.

GCF(912,917) = 1
LCM(912,917) = ( 912 × 917) / 1
LCM(912,917) = 836304 / 1
LCM(912,917) = 836304

Properties of LCM 912 and 917

(i) The LCM of 917 and 912 is associative

LCM of 912 and 917 = LCM of 917 and 912

Related Least Common Multiples of 912

Related Least Common Multiples of 917

Frequently Asked Questions on LCM of 912 and 917

1. What is the LCM of 912 and 917?

Answer: LCM of 912 and 917 is 836304.

2. 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.

3. What are the Factors of 917?

Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.

4. How to Find the LCM of 912 and 917?

Answer:

Least Common Multiple of 912 and 917 = 836304

Step 1: Find the prime factorization of 912

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

Step 2: Find the prime factorization of 917

917 = 7 x 131

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

LCM = 836304 = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 131

Step 4: Therefore, the least common multiple of 912 and 917 is 836304.