Least Common Multiple of 1931 and 1939

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 1939 the smallest integer that is 3744209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1931 and 1939 is 3744209.

LCM(1931,1939) = 3744209

LCM of 1931 and 1939

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

LCM of:
and

Least Common Multiple of 1931 and 1939

LCM of 1931 and 1939 is 3744209

Least common multiple can be found by multiplying the highest exponent prime factors of 1931 and 1939. First we will calculate the prime factors of 1931 and 1939.

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 1939


7 1939
277 277
1

Prime factors of 1939 are 7,277. Prime factorization of 1939 in exponential form is:

1939 = 71×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 1931 and 1939.

LCM(1931,1939) = 71×2771×19311
LCM(1931,1939) = 3744209

Factors of 1931

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

1, 1931

Factors of 1939

List of positive integer factors of 1939 that divides 1939 without a remainder.

1, 7, 277, 1939

Least Common Multiple of 1931 and 1939 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 1939, than apply into the LCM equation.

GCF(1931,1939) = 1
LCM(1931,1939) = ( 1931 × 1939) / 1
LCM(1931,1939) = 3744209 / 1
LCM(1931,1939) = 3744209

Properties of LCM 1931 and 1939

(i) The LCM of 1939 and 1931 is associative

LCM of 1931 and 1939 = LCM of 1939 and 1931

Related Least Common Multiples of 1931

Related Least Common Multiples of 1939

Frequently Asked Questions on LCM of 1931 and 1939

1. What is the LCM of 1931 and 1939?

Answer: LCM of 1931 and 1939 is 3744209.

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 1939?

Answer: Factors of 1939 are 1, 7, 277, 1939. There are 4 integers that are factors of 1939. The greatest factor of 1939 is 1939.

4. How to Find the LCM of 1931 and 1939?

Answer:

Least Common Multiple of 1931 and 1939 = 3744209

Step 1: Find the prime factorization of 1931

1931 = 1931

Step 2: Find the prime factorization of 1939

1939 = 7 x 277

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

LCM = 3744209 = 7 x 277 x 1931

Step 4: Therefore, the least common multiple of 1931 and 1939 is 3744209.