Least Common Multiple of 1924 and 1931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1924 and 1931 the smallest integer that is 3715244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1924 and 1931 is 3715244.

LCM(1924,1931) = 3715244

LCM of 1924 and 1931

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

LCM of:
and

Least Common Multiple of 1924 and 1931

LCM of 1924 and 1931 is 3715244

Least common multiple can be found by multiplying the highest exponent prime factors of 1924 and 1931. First we will calculate the prime factors of 1924 and 1931.

Prime Factorization of 1924


2 1924
2 962
13 481
37 37
1

Prime factors of 1924 are 2, 13,37. Prime factorization of 1924 in exponential form is:

1924 = 22×131×371

Prime Factorization of 1931


1931 1931
1

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

1931 = 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 1924 and 1931.

LCM(1924,1931) = 22×131×371×19311
LCM(1924,1931) = 3715244

Factors of 1924

List of positive integer factors of 1924 that divides 1924 without a remainder.

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924

Factors of 1931

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

1, 1931

Least Common Multiple of 1924 and 1931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1924 and 1931, than apply into the LCM equation.

GCF(1924,1931) = 1
LCM(1924,1931) = ( 1924 × 1931) / 1
LCM(1924,1931) = 3715244 / 1
LCM(1924,1931) = 3715244

Properties of LCM 1924 and 1931

(i) The LCM of 1931 and 1924 is associative

LCM of 1924 and 1931 = LCM of 1931 and 1924

Related Least Common Multiples of 1924

Related Least Common Multiples of 1931

Frequently Asked Questions on LCM of 1924 and 1931

1. What is the LCM of 1924 and 1931?

Answer: LCM of 1924 and 1931 is 3715244.

2. What are the Factors of 1924?

Answer: Factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924. There are 12 integers that are factors of 1924. The greatest factor of 1924 is 1924.

3. 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.

4. How to Find the LCM of 1924 and 1931?

Answer:

Least Common Multiple of 1924 and 1931 = 3715244

Step 1: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

Step 2: Find the prime factorization of 1931

1931 = 1931

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

LCM = 3715244 = 2 x 2 x 13 x 37 x 1931

Step 4: Therefore, the least common multiple of 1924 and 1931 is 3715244.