Least Common Multiple of 7981 and 7983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7981 and 7983 the smallest integer that is 63712323 that is divisible by both numbers.

Least Common Multiple (LCM) of 7981 and 7983 is 63712323.

LCM(7981,7983) = 63712323

LCM of 7981 and 7983

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

LCM of:
and

Least Common Multiple of 7981 and 7983

LCM of 7981 and 7983 is 63712323

Least common multiple can be found by multiplying the highest exponent prime factors of 7981 and 7983. First we will calculate the prime factors of 7981 and 7983.

Prime Factorization of 7981


23 7981
347 347
1

Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:

7981 = 231×3471

Prime Factorization of 7983


3 7983
3 2661
887 887
1

Prime factors of 7983 are 3,887. Prime factorization of 7983 in exponential form is:

7983 = 32×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 7981 and 7983.

LCM(7981,7983) = 32×231×3471×8871
LCM(7981,7983) = 63712323

Factors of 7981

List of positive integer factors of 7981 that divides 7981 without a remainder.

1, 23, 347, 7981

Factors of 7983

List of positive integer factors of 7983 that divides 7983 without a remainder.

1, 3, 9, 887, 2661, 7983

Least Common Multiple of 7981 and 7983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7981 and 7983, than apply into the LCM equation.

GCF(7981,7983) = 1
LCM(7981,7983) = ( 7981 × 7983) / 1
LCM(7981,7983) = 63712323 / 1
LCM(7981,7983) = 63712323

Properties of LCM 7981 and 7983

(i) The LCM of 7983 and 7981 is associative

LCM of 7981 and 7983 = LCM of 7983 and 7981

Related Least Common Multiples of 7981

Related Least Common Multiples of 7983

Frequently Asked Questions on LCM of 7981 and 7983

1. What is the LCM of 7981 and 7983?

Answer: LCM of 7981 and 7983 is 63712323.

2. What are the Factors of 7981?

Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.

3. What are the Factors of 7983?

Answer: Factors of 7983 are 1, 3, 9, 887, 2661, 7983. There are 6 integers that are factors of 7983. The greatest factor of 7983 is 7983.

4. How to Find the LCM of 7981 and 7983?

Answer:

Least Common Multiple of 7981 and 7983 = 63712323

Step 1: Find the prime factorization of 7981

7981 = 23 x 347

Step 2: Find the prime factorization of 7983

7983 = 3 x 3 x 887

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

LCM = 63712323 = 3 x 3 x 23 x 347 x 887

Step 4: Therefore, the least common multiple of 7981 and 7983 is 63712323.