Least Common Multiple of 3983 and 3985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3983 and 3985 the smallest integer that is 15872255 that is divisible by both numbers.

Least Common Multiple (LCM) of 3983 and 3985 is 15872255.

LCM(3983,3985) = 15872255

LCM of 3983 and 3985

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

LCM of:
and

Least Common Multiple of 3983 and 3985

LCM of 3983 and 3985 is 15872255

Least common multiple can be found by multiplying the highest exponent prime factors of 3983 and 3985. First we will calculate the prime factors of 3983 and 3985.

Prime Factorization of 3983


7 3983
569 569
1

Prime factors of 3983 are 7,569. Prime factorization of 3983 in exponential form is:

3983 = 71×5691

Prime Factorization of 3985


5 3985
797 797
1

Prime factors of 3985 are 5,797. Prime factorization of 3985 in exponential form is:

3985 = 51×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 3983 and 3985.

LCM(3983,3985) = 51×71×5691×7971
LCM(3983,3985) = 15872255

Factors of 3983

List of positive integer factors of 3983 that divides 3983 without a remainder.

1, 7, 569, 3983

Factors of 3985

List of positive integer factors of 3985 that divides 3985 without a remainder.

1, 5, 797, 3985

Least Common Multiple of 3983 and 3985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3983 and 3985, than apply into the LCM equation.

GCF(3983,3985) = 1
LCM(3983,3985) = ( 3983 × 3985) / 1
LCM(3983,3985) = 15872255 / 1
LCM(3983,3985) = 15872255

Properties of LCM 3983 and 3985

(i) The LCM of 3985 and 3983 is associative

LCM of 3983 and 3985 = LCM of 3985 and 3983

Related Least Common Multiples of 3983

Related Least Common Multiples of 3985

Frequently Asked Questions on LCM of 3983 and 3985

1. What is the LCM of 3983 and 3985?

Answer: LCM of 3983 and 3985 is 15872255.

2. What are the Factors of 3983?

Answer: Factors of 3983 are 1, 7, 569, 3983. There are 4 integers that are factors of 3983. The greatest factor of 3983 is 3983.

3. What are the Factors of 3985?

Answer: Factors of 3985 are 1, 5, 797, 3985. There are 4 integers that are factors of 3985. The greatest factor of 3985 is 3985.

4. How to Find the LCM of 3983 and 3985?

Answer:

Least Common Multiple of 3983 and 3985 = 15872255

Step 1: Find the prime factorization of 3983

3983 = 7 x 569

Step 2: Find the prime factorization of 3985

3985 = 5 x 797

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

LCM = 15872255 = 5 x 7 x 569 x 797

Step 4: Therefore, the least common multiple of 3983 and 3985 is 15872255.