Least Common Multiple of 1931 and 1936

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 1936 the smallest integer that is 3738416 that is divisible by both numbers.

Least Common Multiple (LCM) of 1931 and 1936 is 3738416.

LCM(1931,1936) = 3738416

LCM of 1931 and 1936

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

LCM of:
and

Least Common Multiple of 1931 and 1936

LCM of 1931 and 1936 is 3738416

Least common multiple can be found by multiplying the highest exponent prime factors of 1931 and 1936. First we will calculate the prime factors of 1931 and 1936.

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 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1931 and 1936.

LCM(1931,1936) = 24×112×19311
LCM(1931,1936) = 3738416

Factors of 1931

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

1, 1931

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936

Least Common Multiple of 1931 and 1936 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 1936, than apply into the LCM equation.

GCF(1931,1936) = 1
LCM(1931,1936) = ( 1931 × 1936) / 1
LCM(1931,1936) = 3738416 / 1
LCM(1931,1936) = 3738416

Properties of LCM 1931 and 1936

(i) The LCM of 1936 and 1931 is associative

LCM of 1931 and 1936 = LCM of 1936 and 1931

Related Least Common Multiples of 1931

Related Least Common Multiples of 1936

Frequently Asked Questions on LCM of 1931 and 1936

1. What is the LCM of 1931 and 1936?

Answer: LCM of 1931 and 1936 is 3738416.

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 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

4. How to Find the LCM of 1931 and 1936?

Answer:

Least Common Multiple of 1931 and 1936 = 3738416

Step 1: Find the prime factorization of 1931

1931 = 1931

Step 2: Find the prime factorization of 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

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

LCM = 3738416 = 2 x 2 x 2 x 2 x 11 x 11 x 1931

Step 4: Therefore, the least common multiple of 1931 and 1936 is 3738416.