Least Common Multiple of 1931 and 1937

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 1937 the smallest integer that is 3740347 that is divisible by both numbers.

Least Common Multiple (LCM) of 1931 and 1937 is 3740347.

LCM(1931,1937) = 3740347

LCM of 1931 and 1937

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

LCM of:
and

Least Common Multiple of 1931 and 1937

LCM of 1931 and 1937 is 3740347

Least common multiple can be found by multiplying the highest exponent prime factors of 1931 and 1937. First we will calculate the prime factors of 1931 and 1937.

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 1937


13 1937
149 149
1

Prime factors of 1937 are 13,149. Prime factorization of 1937 in exponential form is:

1937 = 131×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1931 and 1937.

LCM(1931,1937) = 131×1491×19311
LCM(1931,1937) = 3740347

Factors of 1931

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

1, 1931

Factors of 1937

List of positive integer factors of 1937 that divides 1937 without a remainder.

1, 13, 149, 1937

Least Common Multiple of 1931 and 1937 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 1937, than apply into the LCM equation.

GCF(1931,1937) = 1
LCM(1931,1937) = ( 1931 × 1937) / 1
LCM(1931,1937) = 3740347 / 1
LCM(1931,1937) = 3740347

Properties of LCM 1931 and 1937

(i) The LCM of 1937 and 1931 is associative

LCM of 1931 and 1937 = LCM of 1937 and 1931

Related Least Common Multiples of 1931

Related Least Common Multiples of 1937

Frequently Asked Questions on LCM of 1931 and 1937

1. What is the LCM of 1931 and 1937?

Answer: LCM of 1931 and 1937 is 3740347.

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 1937?

Answer: Factors of 1937 are 1, 13, 149, 1937. There are 4 integers that are factors of 1937. The greatest factor of 1937 is 1937.

4. How to Find the LCM of 1931 and 1937?

Answer:

Least Common Multiple of 1931 and 1937 = 3740347

Step 1: Find the prime factorization of 1931

1931 = 1931

Step 2: Find the prime factorization of 1937

1937 = 13 x 149

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

LCM = 3740347 = 13 x 149 x 1931

Step 4: Therefore, the least common multiple of 1931 and 1937 is 3740347.