Least Common Multiple of 1928 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 1928 and 1931 the smallest integer that is 3722968 that is divisible by both numbers.

Least Common Multiple (LCM) of 1928 and 1931 is 3722968.

LCM(1928,1931) = 3722968

LCM of 1928 and 1931

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

LCM of:
and

Least Common Multiple of 1928 and 1931

LCM of 1928 and 1931 is 3722968

Least common multiple can be found by multiplying the highest exponent prime factors of 1928 and 1931. First we will calculate the prime factors of 1928 and 1931.

Prime Factorization of 1928


2 1928
2 964
2 482
241 241
1

Prime factors of 1928 are 2,241. Prime factorization of 1928 in exponential form is:

1928 = 23×2411

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 1928 and 1931.

LCM(1928,1931) = 23×2411×19311
LCM(1928,1931) = 3722968

Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1, 2, 4, 8, 241, 482, 964, 1928

Factors of 1931

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

1, 1931

Least Common Multiple of 1928 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 1928 and 1931, than apply into the LCM equation.

GCF(1928,1931) = 1
LCM(1928,1931) = ( 1928 × 1931) / 1
LCM(1928,1931) = 3722968 / 1
LCM(1928,1931) = 3722968

Properties of LCM 1928 and 1931

(i) The LCM of 1931 and 1928 is associative

LCM of 1928 and 1931 = LCM of 1931 and 1928

Related Least Common Multiples of 1928

Related Least Common Multiples of 1931

Frequently Asked Questions on LCM of 1928 and 1931

1. What is the LCM of 1928 and 1931?

Answer: LCM of 1928 and 1931 is 3722968.

2. What are the Factors of 1928?

Answer: Factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928. There are 8 integers that are factors of 1928. The greatest factor of 1928 is 1928.

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 1928 and 1931?

Answer:

Least Common Multiple of 1928 and 1931 = 3722968

Step 1: Find the prime factorization of 1928

1928 = 2 x 2 x 2 x 241

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 = 3722968 = 2 x 2 x 2 x 241 x 1931

Step 4: Therefore, the least common multiple of 1928 and 1931 is 3722968.