Least Common Multiple of 1925 and 1932

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 1932 the smallest integer that is 531300 that is divisible by both numbers.

Least Common Multiple (LCM) of 1925 and 1932 is 531300.

LCM(1925,1932) = 531300

LCM of 1925 and 1932

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

LCM of:
and

Least Common Multiple of 1925 and 1932

LCM of 1925 and 1932 is 531300

Least common multiple can be found by multiplying the highest exponent prime factors of 1925 and 1932. First we will calculate the prime factors of 1925 and 1932.

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 1932


2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 1932 are 2, 3, 7,23. Prime factorization of 1932 in exponential form is:

1932 = 22×31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1925 and 1932.

LCM(1925,1932) = 22×31×52×71×111×231
LCM(1925,1932) = 531300

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 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932

Least Common Multiple of 1925 and 1932 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 1932, than apply into the LCM equation.

GCF(1925,1932) = 7
LCM(1925,1932) = ( 1925 × 1932) / 7
LCM(1925,1932) = 3719100 / 7
LCM(1925,1932) = 531300

Properties of LCM 1925 and 1932

(i) The LCM of 1932 and 1925 is associative

LCM of 1925 and 1932 = LCM of 1932 and 1925

Related Least Common Multiples of 1925

Related Least Common Multiples of 1932

Frequently Asked Questions on LCM of 1925 and 1932

1. What is the LCM of 1925 and 1932?

Answer: LCM of 1925 and 1932 is 531300.

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 1932?

Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.

4. How to Find the LCM of 1925 and 1932?

Answer:

Least Common Multiple of 1925 and 1932 = 531300

Step 1: Find the prime factorization of 1925

1925 = 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 1932

1932 = 2 x 2 x 3 x 7 x 23

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

LCM = 531300 = 2 x 2 x 3 x 5 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 1925 and 1932 is 531300.