Least Common Multiple of 7981 and 7985

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 7985 the smallest integer that is 63728285 that is divisible by both numbers.

Least Common Multiple (LCM) of 7981 and 7985 is 63728285.

LCM(7981,7985) = 63728285

LCM of 7981 and 7985

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

LCM of:
and

Least Common Multiple of 7981 and 7985

LCM of 7981 and 7985 is 63728285

Least common multiple can be found by multiplying the highest exponent prime factors of 7981 and 7985. First we will calculate the prime factors of 7981 and 7985.

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 7985


5 7985
1597 1597
1

Prime factors of 7985 are 5,1597. Prime factorization of 7985 in exponential form is:

7985 = 51×15971

Now multiplying the highest exponent prime factors to calculate the LCM of 7981 and 7985.

LCM(7981,7985) = 51×231×3471×15971
LCM(7981,7985) = 63728285

Factors of 7981

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

1, 23, 347, 7981

Factors of 7985

List of positive integer factors of 7985 that divides 7985 without a remainder.

1, 5, 1597, 7985

Least Common Multiple of 7981 and 7985 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 7985, than apply into the LCM equation.

GCF(7981,7985) = 1
LCM(7981,7985) = ( 7981 × 7985) / 1
LCM(7981,7985) = 63728285 / 1
LCM(7981,7985) = 63728285

Properties of LCM 7981 and 7985

(i) The LCM of 7985 and 7981 is associative

LCM of 7981 and 7985 = LCM of 7985 and 7981

Related Least Common Multiples of 7981

Related Least Common Multiples of 7985

Frequently Asked Questions on LCM of 7981 and 7985

1. What is the LCM of 7981 and 7985?

Answer: LCM of 7981 and 7985 is 63728285.

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 7985?

Answer: Factors of 7985 are 1, 5, 1597, 7985. There are 4 integers that are factors of 7985. The greatest factor of 7985 is 7985.

4. How to Find the LCM of 7981 and 7985?

Answer:

Least Common Multiple of 7981 and 7985 = 63728285

Step 1: Find the prime factorization of 7981

7981 = 23 x 347

Step 2: Find the prime factorization of 7985

7985 = 5 x 1597

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

LCM = 63728285 = 5 x 23 x 347 x 1597

Step 4: Therefore, the least common multiple of 7981 and 7985 is 63728285.