Least Common Multiple of 1923 and 1925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1923 and 1925 the smallest integer that is 3701775 that is divisible by both numbers.

Least Common Multiple (LCM) of 1923 and 1925 is 3701775.

LCM(1923,1925) = 3701775

LCM of 1923 and 1925

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

LCM of:
and

Least Common Multiple of 1923 and 1925

LCM of 1923 and 1925 is 3701775

Least common multiple can be found by multiplying the highest exponent prime factors of 1923 and 1925. First we will calculate the prime factors of 1923 and 1925.

Prime Factorization of 1923


3 1923
641 641
1

Prime factors of 1923 are 3,641. Prime factorization of 1923 in exponential form is:

1923 = 31×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1923 and 1925.

LCM(1923,1925) = 31×52×71×111×6411
LCM(1923,1925) = 3701775

Factors of 1923

List of positive integer factors of 1923 that divides 1923 without a remainder.

1, 3, 641, 1923

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

Least Common Multiple of 1923 and 1925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1923 and 1925, than apply into the LCM equation.

GCF(1923,1925) = 1
LCM(1923,1925) = ( 1923 × 1925) / 1
LCM(1923,1925) = 3701775 / 1
LCM(1923,1925) = 3701775

Properties of LCM 1923 and 1925

(i) The LCM of 1925 and 1923 is associative

LCM of 1923 and 1925 = LCM of 1925 and 1923

Related Least Common Multiples of 1923

Related Least Common Multiples of 1925

Frequently Asked Questions on LCM of 1923 and 1925

1. What is the LCM of 1923 and 1925?

Answer: LCM of 1923 and 1925 is 3701775.

2. What are the Factors of 1923?

Answer: Factors of 1923 are 1, 3, 641, 1923. There are 4 integers that are factors of 1923. The greatest factor of 1923 is 1923.

3. 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.

4. How to Find the LCM of 1923 and 1925?

Answer:

Least Common Multiple of 1923 and 1925 = 3701775

Step 1: Find the prime factorization of 1923

1923 = 3 x 641

Step 2: Find the prime factorization of 1925

1925 = 5 x 5 x 7 x 11

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

LCM = 3701775 = 3 x 5 x 5 x 7 x 11 x 641

Step 4: Therefore, the least common multiple of 1923 and 1925 is 3701775.