Least Common Multiple of 1917 and 1922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1917 and 1922 the smallest integer that is 3684474 that is divisible by both numbers.

Least Common Multiple (LCM) of 1917 and 1922 is 3684474.

LCM(1917,1922) = 3684474

LCM of 1917 and 1922

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

LCM of:
and

Least Common Multiple of 1917 and 1922

LCM of 1917 and 1922 is 3684474

Least common multiple can be found by multiplying the highest exponent prime factors of 1917 and 1922. First we will calculate the prime factors of 1917 and 1922.

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

Prime Factorization of 1922


2 1922
31 961
31 31
1

Prime factors of 1922 are 2,31. Prime factorization of 1922 in exponential form is:

1922 = 21×312

Now multiplying the highest exponent prime factors to calculate the LCM of 1917 and 1922.

LCM(1917,1922) = 21×33×312×711
LCM(1917,1922) = 3684474

Factors of 1917

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

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

Factors of 1922

List of positive integer factors of 1922 that divides 1922 without a remainder.

1, 2, 31, 62, 961, 1922

Least Common Multiple of 1917 and 1922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1917 and 1922, than apply into the LCM equation.

GCF(1917,1922) = 1
LCM(1917,1922) = ( 1917 × 1922) / 1
LCM(1917,1922) = 3684474 / 1
LCM(1917,1922) = 3684474

Properties of LCM 1917 and 1922

(i) The LCM of 1922 and 1917 is associative

LCM of 1917 and 1922 = LCM of 1922 and 1917

Related Least Common Multiples of 1917

Related Least Common Multiples of 1922

Frequently Asked Questions on LCM of 1917 and 1922

1. What is the LCM of 1917 and 1922?

Answer: LCM of 1917 and 1922 is 3684474.

2. 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.

3. What are the Factors of 1922?

Answer: Factors of 1922 are 1, 2, 31, 62, 961, 1922. There are 6 integers that are factors of 1922. The greatest factor of 1922 is 1922.

4. How to Find the LCM of 1917 and 1922?

Answer:

Least Common Multiple of 1917 and 1922 = 3684474

Step 1: Find the prime factorization of 1917

1917 = 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 1922

1922 = 2 x 31 x 31

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

LCM = 3684474 = 2 x 3 x 3 x 3 x 31 x 31 x 71

Step 4: Therefore, the least common multiple of 1917 and 1922 is 3684474.