Least Common Multiple of 1921 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 1921 and 1925 the smallest integer that is 3697925 that is divisible by both numbers.

Least Common Multiple (LCM) of 1921 and 1925 is 3697925.

LCM(1921,1925) = 3697925

LCM of 1921 and 1925

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

LCM of:
and

Least Common Multiple of 1921 and 1925

LCM of 1921 and 1925 is 3697925

Least common multiple can be found by multiplying the highest exponent prime factors of 1921 and 1925. First we will calculate the prime factors of 1921 and 1925.

Prime Factorization of 1921


17 1921
113 113
1

Prime factors of 1921 are 17,113. Prime factorization of 1921 in exponential form is:

1921 = 171×1131

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 1921 and 1925.

LCM(1921,1925) = 52×71×111×171×1131
LCM(1921,1925) = 3697925

Factors of 1921

List of positive integer factors of 1921 that divides 1921 without a remainder.

1, 17, 113, 1921

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 1921 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 1921 and 1925, than apply into the LCM equation.

GCF(1921,1925) = 1
LCM(1921,1925) = ( 1921 × 1925) / 1
LCM(1921,1925) = 3697925 / 1
LCM(1921,1925) = 3697925

Properties of LCM 1921 and 1925

(i) The LCM of 1925 and 1921 is associative

LCM of 1921 and 1925 = LCM of 1925 and 1921

Related Least Common Multiples of 1921

Related Least Common Multiples of 1925

Frequently Asked Questions on LCM of 1921 and 1925

1. What is the LCM of 1921 and 1925?

Answer: LCM of 1921 and 1925 is 3697925.

2. What are the Factors of 1921?

Answer: Factors of 1921 are 1, 17, 113, 1921. There are 4 integers that are factors of 1921. The greatest factor of 1921 is 1921.

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 1921 and 1925?

Answer:

Least Common Multiple of 1921 and 1925 = 3697925

Step 1: Find the prime factorization of 1921

1921 = 17 x 113

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 = 3697925 = 5 x 5 x 7 x 11 x 17 x 113

Step 4: Therefore, the least common multiple of 1921 and 1925 is 3697925.