Least Common Multiple of 1923 and 1930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1923 and 1930 the smallest integer that is 3711390 that is divisible by both numbers.

Least Common Multiple (LCM) of 1923 and 1930 is 3711390.

LCM(1923,1930) = 3711390

LCM of 1923 and 1930

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

LCM of:
and

Least Common Multiple of 1923 and 1930

LCM of 1923 and 1930 is 3711390

Least common multiple can be found by multiplying the highest exponent prime factors of 1923 and 1930. First we will calculate the prime factors of 1923 and 1930.

Prime Factorization of 1923


3 1923
641 641
1

Prime factors of 1923 are 3,641. Prime factorization of 1923 in exponential form is:

1923 = 31×6411

Prime Factorization of 1930


2 1930
5 965
193 193
1

Prime factors of 1930 are 2, 5,193. Prime factorization of 1930 in exponential form is:

1930 = 21×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1923 and 1930.

LCM(1923,1930) = 21×31×51×1931×6411
LCM(1923,1930) = 3711390

Factors of 1923

List of positive integer factors of 1923 that divides 1923 without a remainder.

1, 3, 641, 1923

Factors of 1930

List of positive integer factors of 1930 that divides 1930 without a remainder.

1, 2, 5, 10, 193, 386, 965, 1930

Least Common Multiple of 1923 and 1930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1923 and 1930, than apply into the LCM equation.

GCF(1923,1930) = 1
LCM(1923,1930) = ( 1923 × 1930) / 1
LCM(1923,1930) = 3711390 / 1
LCM(1923,1930) = 3711390

Properties of LCM 1923 and 1930

(i) The LCM of 1930 and 1923 is associative

LCM of 1923 and 1930 = LCM of 1930 and 1923

Related Least Common Multiples of 1923

Related Least Common Multiples of 1930

Frequently Asked Questions on LCM of 1923 and 1930

1. What is the LCM of 1923 and 1930?

Answer: LCM of 1923 and 1930 is 3711390.

2. What are the Factors of 1923?

Answer: Factors of 1923 are 1, 3, 641, 1923. There are 4 integers that are factors of 1923. The greatest factor of 1923 is 1923.

3. What are the Factors of 1930?

Answer: Factors of 1930 are 1, 2, 5, 10, 193, 386, 965, 1930. There are 8 integers that are factors of 1930. The greatest factor of 1930 is 1930.

4. How to Find the LCM of 1923 and 1930?

Answer:

Least Common Multiple of 1923 and 1930 = 3711390

Step 1: Find the prime factorization of 1923

1923 = 3 x 641

Step 2: Find the prime factorization of 1930

1930 = 2 x 5 x 193

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

LCM = 3711390 = 2 x 3 x 5 x 193 x 641

Step 4: Therefore, the least common multiple of 1923 and 1930 is 3711390.