Least Common Multiple of 3921 and 3925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3921 and 3925 the smallest integer that is 15389925 that is divisible by both numbers.

Least Common Multiple (LCM) of 3921 and 3925 is 15389925.

LCM(3921,3925) = 15389925

LCM of 3921 and 3925

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

LCM of:
and

Least Common Multiple of 3921 and 3925

LCM of 3921 and 3925 is 15389925

Least common multiple can be found by multiplying the highest exponent prime factors of 3921 and 3925. First we will calculate the prime factors of 3921 and 3925.

Prime Factorization of 3921


3 3921
1307 1307
1

Prime factors of 3921 are 3,1307. Prime factorization of 3921 in exponential form is:

3921 = 31×13071

Prime Factorization of 3925


5 3925
5 785
157 157
1

Prime factors of 3925 are 5,157. Prime factorization of 3925 in exponential form is:

3925 = 52×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3921 and 3925.

LCM(3921,3925) = 31×52×1571×13071
LCM(3921,3925) = 15389925

Factors of 3921

List of positive integer factors of 3921 that divides 3921 without a remainder.

1, 3, 1307, 3921

Factors of 3925

List of positive integer factors of 3925 that divides 3925 without a remainder.

1, 5, 25, 157, 785, 3925

Least Common Multiple of 3921 and 3925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3921 and 3925, than apply into the LCM equation.

GCF(3921,3925) = 1
LCM(3921,3925) = ( 3921 × 3925) / 1
LCM(3921,3925) = 15389925 / 1
LCM(3921,3925) = 15389925

Properties of LCM 3921 and 3925

(i) The LCM of 3925 and 3921 is associative

LCM of 3921 and 3925 = LCM of 3925 and 3921

Related Least Common Multiples of 3921

Related Least Common Multiples of 3925

Frequently Asked Questions on LCM of 3921 and 3925

1. What is the LCM of 3921 and 3925?

Answer: LCM of 3921 and 3925 is 15389925.

2. What are the Factors of 3921?

Answer: Factors of 3921 are 1, 3, 1307, 3921. There are 4 integers that are factors of 3921. The greatest factor of 3921 is 3921.

3. What are the Factors of 3925?

Answer: Factors of 3925 are 1, 5, 25, 157, 785, 3925. There are 6 integers that are factors of 3925. The greatest factor of 3925 is 3925.

4. How to Find the LCM of 3921 and 3925?

Answer:

Least Common Multiple of 3921 and 3925 = 15389925

Step 1: Find the prime factorization of 3921

3921 = 3 x 1307

Step 2: Find the prime factorization of 3925

3925 = 5 x 5 x 157

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

LCM = 15389925 = 3 x 5 x 5 x 157 x 1307

Step 4: Therefore, the least common multiple of 3921 and 3925 is 15389925.