Least Common Multiple of 1929 and 1933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1929 and 1933 the smallest integer that is 3728757 that is divisible by both numbers.

Least Common Multiple (LCM) of 1929 and 1933 is 3728757.

LCM(1929,1933) = 3728757

LCM of 1929 and 1933

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

LCM of:
and

Least Common Multiple of 1929 and 1933

LCM of 1929 and 1933 is 3728757

Least common multiple can be found by multiplying the highest exponent prime factors of 1929 and 1933. First we will calculate the prime factors of 1929 and 1933.

Prime Factorization of 1929


3 1929
643 643
1

Prime factors of 1929 are 3,643. Prime factorization of 1929 in exponential form is:

1929 = 31×6431

Prime Factorization of 1933


1933 1933
1

Prime factors of 1933 are 1933. Prime factorization of 1933 in exponential form is:

1933 = 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 1929 and 1933.

LCM(1929,1933) = 31×6431×19331
LCM(1929,1933) = 3728757

Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1, 3, 643, 1929

Factors of 1933

List of positive integer factors of 1933 that divides 1933 without a remainder.

1, 1933

Least Common Multiple of 1929 and 1933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1929 and 1933, than apply into the LCM equation.

GCF(1929,1933) = 1
LCM(1929,1933) = ( 1929 × 1933) / 1
LCM(1929,1933) = 3728757 / 1
LCM(1929,1933) = 3728757

Properties of LCM 1929 and 1933

(i) The LCM of 1933 and 1929 is associative

LCM of 1929 and 1933 = LCM of 1933 and 1929

Related Least Common Multiples of 1929

Related Least Common Multiples of 1933

Frequently Asked Questions on LCM of 1929 and 1933

1. What is the LCM of 1929 and 1933?

Answer: LCM of 1929 and 1933 is 3728757.

2. What are the Factors of 1929?

Answer: Factors of 1929 are 1, 3, 643, 1929. There are 4 integers that are factors of 1929. The greatest factor of 1929 is 1929.

3. What are the Factors of 1933?

Answer: Factors of 1933 are 1, 1933. There are 2 integers that are factors of 1933. The greatest factor of 1933 is 1933.

4. How to Find the LCM of 1929 and 1933?

Answer:

Least Common Multiple of 1929 and 1933 = 3728757

Step 1: Find the prime factorization of 1929

1929 = 3 x 643

Step 2: Find the prime factorization of 1933

1933 = 1933

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

LCM = 3728757 = 3 x 643 x 1933

Step 4: Therefore, the least common multiple of 1929 and 1933 is 3728757.