Least Common Multiple of 1931 and 1938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1931 and 1938 the smallest integer that is 3742278 that is divisible by both numbers.

Least Common Multiple (LCM) of 1931 and 1938 is 3742278.

LCM(1931,1938) = 3742278

LCM of 1931 and 1938

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

LCM of:
and

Least Common Multiple of 1931 and 1938

LCM of 1931 and 1938 is 3742278

Least common multiple can be found by multiplying the highest exponent prime factors of 1931 and 1938. First we will calculate the prime factors of 1931 and 1938.

Prime Factorization of 1931


1931 1931
1

Prime factors of 1931 are 1931. Prime factorization of 1931 in exponential form is:

1931 = 19311

Prime Factorization of 1938


2 1938
3 969
17 323
19 19
1

Prime factors of 1938 are 2, 3, 17,19. Prime factorization of 1938 in exponential form is:

1938 = 21×31×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1931 and 1938.

LCM(1931,1938) = 21×31×171×191×19311
LCM(1931,1938) = 3742278

Factors of 1931

List of positive integer factors of 1931 that divides 1931 without a remainder.

1, 1931

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938

Least Common Multiple of 1931 and 1938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1931 and 1938, than apply into the LCM equation.

GCF(1931,1938) = 1
LCM(1931,1938) = ( 1931 × 1938) / 1
LCM(1931,1938) = 3742278 / 1
LCM(1931,1938) = 3742278

Properties of LCM 1931 and 1938

(i) The LCM of 1938 and 1931 is associative

LCM of 1931 and 1938 = LCM of 1938 and 1931

Related Least Common Multiples of 1931

Related Least Common Multiples of 1938

Frequently Asked Questions on LCM of 1931 and 1938

1. What is the LCM of 1931 and 1938?

Answer: LCM of 1931 and 1938 is 3742278.

2. What are the Factors of 1931?

Answer: Factors of 1931 are 1, 1931. There are 2 integers that are factors of 1931. The greatest factor of 1931 is 1931.

3. What are the Factors of 1938?

Answer: Factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938. There are 16 integers that are factors of 1938. The greatest factor of 1938 is 1938.

4. How to Find the LCM of 1931 and 1938?

Answer:

Least Common Multiple of 1931 and 1938 = 3742278

Step 1: Find the prime factorization of 1931

1931 = 1931

Step 2: Find the prime factorization of 1938

1938 = 2 x 3 x 17 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 = 3742278 = 2 x 3 x 17 x 19 x 1931

Step 4: Therefore, the least common multiple of 1931 and 1938 is 3742278.