Least Common Multiple of 1916 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 1916 and 1922 the smallest integer that is 1841276 that is divisible by both numbers.

Least Common Multiple (LCM) of 1916 and 1922 is 1841276.

LCM(1916,1922) = 1841276

LCM of 1916 and 1922

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

LCM of:
and

Least Common Multiple of 1916 and 1922

LCM of 1916 and 1922 is 1841276

Least common multiple can be found by multiplying the highest exponent prime factors of 1916 and 1922. First we will calculate the prime factors of 1916 and 1922.

Prime Factorization of 1916


2 1916
2 958
479 479
1

Prime factors of 1916 are 2,479. Prime factorization of 1916 in exponential form is:

1916 = 22×4791

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 1916 and 1922.

LCM(1916,1922) = 22×312×4791
LCM(1916,1922) = 1841276

Factors of 1916

List of positive integer factors of 1916 that divides 1916 without a remainder.

1, 2, 4, 479, 958, 1916

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 1916 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 1916 and 1922, than apply into the LCM equation.

GCF(1916,1922) = 2
LCM(1916,1922) = ( 1916 × 1922) / 2
LCM(1916,1922) = 3682552 / 2
LCM(1916,1922) = 1841276

Properties of LCM 1916 and 1922

(i) The LCM of 1922 and 1916 is associative

LCM of 1916 and 1922 = LCM of 1922 and 1916

Related Least Common Multiples of 1916

Related Least Common Multiples of 1922

Frequently Asked Questions on LCM of 1916 and 1922

1. What is the LCM of 1916 and 1922?

Answer: LCM of 1916 and 1922 is 1841276.

2. What are the Factors of 1916?

Answer: Factors of 1916 are 1, 2, 4, 479, 958, 1916. There are 6 integers that are factors of 1916. The greatest factor of 1916 is 1916.

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 1916 and 1922?

Answer:

Least Common Multiple of 1916 and 1922 = 1841276

Step 1: Find the prime factorization of 1916

1916 = 2 x 2 x 479

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 = 1841276 = 2 x 2 x 31 x 31 x 479

Step 4: Therefore, the least common multiple of 1916 and 1922 is 1841276.