Least Common Multiple of 1919 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 1919 and 1925 the smallest integer that is 3694075 that is divisible by both numbers.

Least Common Multiple (LCM) of 1919 and 1925 is 3694075.

LCM(1919,1925) = 3694075

LCM of 1919 and 1925

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

LCM of:
and

Least Common Multiple of 1919 and 1925

LCM of 1919 and 1925 is 3694075

Least common multiple can be found by multiplying the highest exponent prime factors of 1919 and 1925. First we will calculate the prime factors of 1919 and 1925.

Prime Factorization of 1919


19 1919
101 101
1

Prime factors of 1919 are 19,101. Prime factorization of 1919 in exponential form is:

1919 = 191×1011

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 1919 and 1925.

LCM(1919,1925) = 52×71×111×191×1011
LCM(1919,1925) = 3694075

Factors of 1919

List of positive integer factors of 1919 that divides 1919 without a remainder.

1, 19, 101, 1919

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 1919 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 1919 and 1925, than apply into the LCM equation.

GCF(1919,1925) = 1
LCM(1919,1925) = ( 1919 × 1925) / 1
LCM(1919,1925) = 3694075 / 1
LCM(1919,1925) = 3694075

Properties of LCM 1919 and 1925

(i) The LCM of 1925 and 1919 is associative

LCM of 1919 and 1925 = LCM of 1925 and 1919

Related Least Common Multiples of 1919

Related Least Common Multiples of 1925

Frequently Asked Questions on LCM of 1919 and 1925

1. What is the LCM of 1919 and 1925?

Answer: LCM of 1919 and 1925 is 3694075.

2. What are the Factors of 1919?

Answer: Factors of 1919 are 1, 19, 101, 1919. There are 4 integers that are factors of 1919. The greatest factor of 1919 is 1919.

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 1919 and 1925?

Answer:

Least Common Multiple of 1919 and 1925 = 3694075

Step 1: Find the prime factorization of 1919

1919 = 19 x 101

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 = 3694075 = 5 x 5 x 7 x 11 x 19 x 101

Step 4: Therefore, the least common multiple of 1919 and 1925 is 3694075.