Least Common Multiple of 1924 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 1924 and 1929 the smallest integer that is 3711396 that is divisible by both numbers.

Least Common Multiple (LCM) of 1924 and 1929 is 3711396.

LCM(1924,1929) = 3711396

LCM of 1924 and 1929

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

LCM of:
and

Least Common Multiple of 1924 and 1929

LCM of 1924 and 1929 is 3711396

Least common multiple can be found by multiplying the highest exponent prime factors of 1924 and 1929. First we will calculate the prime factors of 1924 and 1929.

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 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 1924 and 1929.

LCM(1924,1929) = 22×31×131×371×6431
LCM(1924,1929) = 3711396

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 1929

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

1, 3, 643, 1929

Least Common Multiple of 1924 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 1924 and 1929, than apply into the LCM equation.

GCF(1924,1929) = 1
LCM(1924,1929) = ( 1924 × 1929) / 1
LCM(1924,1929) = 3711396 / 1
LCM(1924,1929) = 3711396

Properties of LCM 1924 and 1929

(i) The LCM of 1929 and 1924 is associative

LCM of 1924 and 1929 = LCM of 1929 and 1924

Related Least Common Multiples of 1924

Related Least Common Multiples of 1929

Frequently Asked Questions on LCM of 1924 and 1929

1. What is the LCM of 1924 and 1929?

Answer: LCM of 1924 and 1929 is 3711396.

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 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 1924 and 1929?

Answer:

Least Common Multiple of 1924 and 1929 = 3711396

Step 1: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

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 = 3711396 = 2 x 2 x 3 x 13 x 37 x 643

Step 4: Therefore, the least common multiple of 1924 and 1929 is 3711396.