Least Common Multiple of 1924 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 1924 and 1925 the smallest integer that is 3703700 that is divisible by both numbers.

Least Common Multiple (LCM) of 1924 and 1925 is 3703700.

LCM(1924,1925) = 3703700

LCM of 1924 and 1925

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

LCM of:
and

Least Common Multiple of 1924 and 1925

LCM of 1924 and 1925 is 3703700

Least common multiple can be found by multiplying the highest exponent prime factors of 1924 and 1925. First we will calculate the prime factors of 1924 and 1925.

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 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 1924 and 1925.

LCM(1924,1925) = 22×52×71×111×131×371
LCM(1924,1925) = 3703700

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 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 1924 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 1924 and 1925, than apply into the LCM equation.

GCF(1924,1925) = 1
LCM(1924,1925) = ( 1924 × 1925) / 1
LCM(1924,1925) = 3703700 / 1
LCM(1924,1925) = 3703700

Properties of LCM 1924 and 1925

(i) The LCM of 1925 and 1924 is associative

LCM of 1924 and 1925 = LCM of 1925 and 1924

Related Least Common Multiples of 1924

Related Least Common Multiples of 1925

Frequently Asked Questions on LCM of 1924 and 1925

1. What is the LCM of 1924 and 1925?

Answer: LCM of 1924 and 1925 is 3703700.

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 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 1924 and 1925?

Answer:

Least Common Multiple of 1924 and 1925 = 3703700

Step 1: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

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 = 3703700 = 2 x 2 x 5 x 5 x 7 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 1924 and 1925 is 3703700.