Least Common Multiple of 1928 and 1929

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 1929 the smallest integer that is 3719112 that is divisible by both numbers.

Least Common Multiple (LCM) of 1928 and 1929 is 3719112.

LCM(1928,1929) = 3719112

LCM of 1928 and 1929

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

LCM of:
and

Least Common Multiple of 1928 and 1929

LCM of 1928 and 1929 is 3719112

Least common multiple can be found by multiplying the highest exponent prime factors of 1928 and 1929. First we will calculate the prime factors of 1928 and 1929.

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 1929


3 1929
643 643
1

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

1929 = 31×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 1928 and 1929.

LCM(1928,1929) = 23×31×2411×6431
LCM(1928,1929) = 3719112

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 1929

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

1, 3, 643, 1929

Least Common Multiple of 1928 and 1929 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 1929, than apply into the LCM equation.

GCF(1928,1929) = 1
LCM(1928,1929) = ( 1928 × 1929) / 1
LCM(1928,1929) = 3719112 / 1
LCM(1928,1929) = 3719112

Properties of LCM 1928 and 1929

(i) The LCM of 1929 and 1928 is associative

LCM of 1928 and 1929 = LCM of 1929 and 1928

Related Least Common Multiples of 1928

Related Least Common Multiples of 1929

Frequently Asked Questions on LCM of 1928 and 1929

1. What is the LCM of 1928 and 1929?

Answer: LCM of 1928 and 1929 is 3719112.

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 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.

4. How to Find the LCM of 1928 and 1929?

Answer:

Least Common Multiple of 1928 and 1929 = 3719112

Step 1: Find the prime factorization of 1928

1928 = 2 x 2 x 2 x 241

Step 2: Find the prime factorization of 1929

1929 = 3 x 643

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

LCM = 3719112 = 2 x 2 x 2 x 3 x 241 x 643

Step 4: Therefore, the least common multiple of 1928 and 1929 is 3719112.