Least Common Multiple of 1925 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 1925 and 1930 the smallest integer that is 743050 that is divisible by both numbers.

Least Common Multiple (LCM) of 1925 and 1930 is 743050.

LCM(1925,1930) = 743050

LCM of 1925 and 1930

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

LCM of:
and

Least Common Multiple of 1925 and 1930

LCM of 1925 and 1930 is 743050

Least common multiple can be found by multiplying the highest exponent prime factors of 1925 and 1930. First we will calculate the prime factors of 1925 and 1930.

Prime Factorization of 1925


5 1925
5 385
7 77
11 11
1

Prime factors of 1925 are 5, 7,11. Prime factorization of 1925 in exponential form is:

1925 = 52×71×111

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 1925 and 1930.

LCM(1925,1930) = 21×52×71×111×1931
LCM(1925,1930) = 743050

Factors of 1925

List of positive integer factors of 1925 that divides 1925 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925

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 1925 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 1925 and 1930, than apply into the LCM equation.

GCF(1925,1930) = 5
LCM(1925,1930) = ( 1925 × 1930) / 5
LCM(1925,1930) = 3715250 / 5
LCM(1925,1930) = 743050

Properties of LCM 1925 and 1930

(i) The LCM of 1930 and 1925 is associative

LCM of 1925 and 1930 = LCM of 1930 and 1925

Related Least Common Multiples of 1925

Related Least Common Multiples of 1930

Frequently Asked Questions on LCM of 1925 and 1930

1. What is the LCM of 1925 and 1930?

Answer: LCM of 1925 and 1930 is 743050.

2. What are the Factors of 1925?

Answer: Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. There are 12 integers that are factors of 1925. The greatest factor of 1925 is 1925.

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 1925 and 1930?

Answer:

Least Common Multiple of 1925 and 1930 = 743050

Step 1: Find the prime factorization of 1925

1925 = 5 x 5 x 7 x 11

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 = 743050 = 2 x 5 x 5 x 7 x 11 x 193

Step 4: Therefore, the least common multiple of 1925 and 1930 is 743050.