Least Common Multiple of 1929 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 1929 and 1930 the smallest integer that is 3722970 that is divisible by both numbers.

Least Common Multiple (LCM) of 1929 and 1930 is 3722970.

LCM(1929,1930) = 3722970

LCM of 1929 and 1930

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

LCM of:
and

Least Common Multiple of 1929 and 1930

LCM of 1929 and 1930 is 3722970

Least common multiple can be found by multiplying the highest exponent prime factors of 1929 and 1930. First we will calculate the prime factors of 1929 and 1930.

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 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 1929 and 1930.

LCM(1929,1930) = 21×31×51×1931×6431
LCM(1929,1930) = 3722970

Factors of 1929

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

1, 3, 643, 1929

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 1929 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 1929 and 1930, than apply into the LCM equation.

GCF(1929,1930) = 1
LCM(1929,1930) = ( 1929 × 1930) / 1
LCM(1929,1930) = 3722970 / 1
LCM(1929,1930) = 3722970

Properties of LCM 1929 and 1930

(i) The LCM of 1930 and 1929 is associative

LCM of 1929 and 1930 = LCM of 1930 and 1929

Related Least Common Multiples of 1929

Related Least Common Multiples of 1930

Frequently Asked Questions on LCM of 1929 and 1930

1. What is the LCM of 1929 and 1930?

Answer: LCM of 1929 and 1930 is 3722970.

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 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 1929 and 1930?

Answer:

Least Common Multiple of 1929 and 1930 = 3722970

Step 1: Find the prime factorization of 1929

1929 = 3 x 643

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 = 3722970 = 2 x 3 x 5 x 193 x 643

Step 4: Therefore, the least common multiple of 1929 and 1930 is 3722970.