Least Common Multiple of 3973 and 3981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3973 and 3981 the smallest integer that is 15816513 that is divisible by both numbers.

Least Common Multiple (LCM) of 3973 and 3981 is 15816513.

LCM(3973,3981) = 15816513

LCM of 3973 and 3981

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

LCM of:
and

Least Common Multiple of 3973 and 3981

LCM of 3973 and 3981 is 15816513

Least common multiple can be found by multiplying the highest exponent prime factors of 3973 and 3981. First we will calculate the prime factors of 3973 and 3981.

Prime Factorization of 3973


29 3973
137 137
1

Prime factors of 3973 are 29,137. Prime factorization of 3973 in exponential form is:

3973 = 291×1371

Prime Factorization of 3981


3 3981
1327 1327
1

Prime factors of 3981 are 3,1327. Prime factorization of 3981 in exponential form is:

3981 = 31×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 3973 and 3981.

LCM(3973,3981) = 31×291×1371×13271
LCM(3973,3981) = 15816513

Factors of 3973

List of positive integer factors of 3973 that divides 3973 without a remainder.

1, 29, 137, 3973

Factors of 3981

List of positive integer factors of 3981 that divides 3981 without a remainder.

1, 3, 1327, 3981

Least Common Multiple of 3973 and 3981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3973 and 3981, than apply into the LCM equation.

GCF(3973,3981) = 1
LCM(3973,3981) = ( 3973 × 3981) / 1
LCM(3973,3981) = 15816513 / 1
LCM(3973,3981) = 15816513

Properties of LCM 3973 and 3981

(i) The LCM of 3981 and 3973 is associative

LCM of 3973 and 3981 = LCM of 3981 and 3973

Related Least Common Multiples of 3973

Related Least Common Multiples of 3981

Frequently Asked Questions on LCM of 3973 and 3981

1. What is the LCM of 3973 and 3981?

Answer: LCM of 3973 and 3981 is 15816513.

2. What are the Factors of 3973?

Answer: Factors of 3973 are 1, 29, 137, 3973. There are 4 integers that are factors of 3973. The greatest factor of 3973 is 3973.

3. What are the Factors of 3981?

Answer: Factors of 3981 are 1, 3, 1327, 3981. There are 4 integers that are factors of 3981. The greatest factor of 3981 is 3981.

4. How to Find the LCM of 3973 and 3981?

Answer:

Least Common Multiple of 3973 and 3981 = 15816513

Step 1: Find the prime factorization of 3973

3973 = 29 x 137

Step 2: Find the prime factorization of 3981

3981 = 3 x 1327

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

LCM = 15816513 = 3 x 29 x 137 x 1327

Step 4: Therefore, the least common multiple of 3973 and 3981 is 15816513.