Least Common Multiple of 1912 and 1917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1912 and 1917 the smallest integer that is 3665304 that is divisible by both numbers.

Least Common Multiple (LCM) of 1912 and 1917 is 3665304.

LCM(1912,1917) = 3665304

LCM of 1912 and 1917

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

LCM of:
and

Least Common Multiple of 1912 and 1917

LCM of 1912 and 1917 is 3665304

Least common multiple can be found by multiplying the highest exponent prime factors of 1912 and 1917. First we will calculate the prime factors of 1912 and 1917.

Prime Factorization of 1912


2 1912
2 956
2 478
239 239
1

Prime factors of 1912 are 2,239. Prime factorization of 1912 in exponential form is:

1912 = 23×2391

Prime Factorization of 1917


3 1917
3 639
3 213
71 71
1

Prime factors of 1917 are 3,71. Prime factorization of 1917 in exponential form is:

1917 = 33×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1912 and 1917.

LCM(1912,1917) = 23×33×711×2391
LCM(1912,1917) = 3665304

Factors of 1912

List of positive integer factors of 1912 that divides 1912 without a remainder.

1, 2, 4, 8, 239, 478, 956, 1912

Factors of 1917

List of positive integer factors of 1917 that divides 1917 without a remainder.

1, 3, 9, 27, 71, 213, 639, 1917

Least Common Multiple of 1912 and 1917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1912 and 1917, than apply into the LCM equation.

GCF(1912,1917) = 1
LCM(1912,1917) = ( 1912 × 1917) / 1
LCM(1912,1917) = 3665304 / 1
LCM(1912,1917) = 3665304

Properties of LCM 1912 and 1917

(i) The LCM of 1917 and 1912 is associative

LCM of 1912 and 1917 = LCM of 1917 and 1912

Related Least Common Multiples of 1912

Related Least Common Multiples of 1917

Frequently Asked Questions on LCM of 1912 and 1917

1. What is the LCM of 1912 and 1917?

Answer: LCM of 1912 and 1917 is 3665304.

2. What are the Factors of 1912?

Answer: Factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912. There are 8 integers that are factors of 1912. The greatest factor of 1912 is 1912.

3. What are the Factors of 1917?

Answer: Factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917. There are 8 integers that are factors of 1917. The greatest factor of 1917 is 1917.

4. How to Find the LCM of 1912 and 1917?

Answer:

Least Common Multiple of 1912 and 1917 = 3665304

Step 1: Find the prime factorization of 1912

1912 = 2 x 2 x 2 x 239

Step 2: Find the prime factorization of 1917

1917 = 3 x 3 x 3 x 71

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

LCM = 3665304 = 2 x 2 x 2 x 3 x 3 x 3 x 71 x 239

Step 4: Therefore, the least common multiple of 1912 and 1917 is 3665304.