Least Common Multiple of 1924 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 1924 and 1930 the smallest integer that is 1856660 that is divisible by both numbers.

Least Common Multiple (LCM) of 1924 and 1930 is 1856660.

LCM(1924,1930) = 1856660

LCM of 1924 and 1930

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

LCM of:
and

Least Common Multiple of 1924 and 1930

LCM of 1924 and 1930 is 1856660

Least common multiple can be found by multiplying the highest exponent prime factors of 1924 and 1930. First we will calculate the prime factors of 1924 and 1930.

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 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 1924 and 1930.

LCM(1924,1930) = 22×51×131×371×1931
LCM(1924,1930) = 1856660

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 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 1924 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 1924 and 1930, than apply into the LCM equation.

GCF(1924,1930) = 2
LCM(1924,1930) = ( 1924 × 1930) / 2
LCM(1924,1930) = 3713320 / 2
LCM(1924,1930) = 1856660

Properties of LCM 1924 and 1930

(i) The LCM of 1930 and 1924 is associative

LCM of 1924 and 1930 = LCM of 1930 and 1924

Related Least Common Multiples of 1924

Related Least Common Multiples of 1930

Frequently Asked Questions on LCM of 1924 and 1930

1. What is the LCM of 1924 and 1930?

Answer: LCM of 1924 and 1930 is 1856660.

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 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 1924 and 1930?

Answer:

Least Common Multiple of 1924 and 1930 = 1856660

Step 1: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

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 = 1856660 = 2 x 2 x 5 x 13 x 37 x 193

Step 4: Therefore, the least common multiple of 1924 and 1930 is 1856660.