Least Common Multiple of 7981 and 7988

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 7988 the smallest integer that is 63752228 that is divisible by both numbers.

Least Common Multiple (LCM) of 7981 and 7988 is 63752228.

LCM(7981,7988) = 63752228

LCM of 7981 and 7988

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

LCM of:
and

Least Common Multiple of 7981 and 7988

LCM of 7981 and 7988 is 63752228

Least common multiple can be found by multiplying the highest exponent prime factors of 7981 and 7988. First we will calculate the prime factors of 7981 and 7988.

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 7988


2 7988
2 3994
1997 1997
1

Prime factors of 7988 are 2,1997. Prime factorization of 7988 in exponential form is:

7988 = 22×19971

Now multiplying the highest exponent prime factors to calculate the LCM of 7981 and 7988.

LCM(7981,7988) = 22×231×3471×19971
LCM(7981,7988) = 63752228

Factors of 7981

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

1, 23, 347, 7981

Factors of 7988

List of positive integer factors of 7988 that divides 7988 without a remainder.

1, 2, 4, 1997, 3994, 7988

Least Common Multiple of 7981 and 7988 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 7988, than apply into the LCM equation.

GCF(7981,7988) = 1
LCM(7981,7988) = ( 7981 × 7988) / 1
LCM(7981,7988) = 63752228 / 1
LCM(7981,7988) = 63752228

Properties of LCM 7981 and 7988

(i) The LCM of 7988 and 7981 is associative

LCM of 7981 and 7988 = LCM of 7988 and 7981

Related Least Common Multiples of 7981

Related Least Common Multiples of 7988

Frequently Asked Questions on LCM of 7981 and 7988

1. What is the LCM of 7981 and 7988?

Answer: LCM of 7981 and 7988 is 63752228.

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 7988?

Answer: Factors of 7988 are 1, 2, 4, 1997, 3994, 7988. There are 6 integers that are factors of 7988. The greatest factor of 7988 is 7988.

4. How to Find the LCM of 7981 and 7988?

Answer:

Least Common Multiple of 7981 and 7988 = 63752228

Step 1: Find the prime factorization of 7981

7981 = 23 x 347

Step 2: Find the prime factorization of 7988

7988 = 2 x 2 x 1997

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

LCM = 63752228 = 2 x 2 x 23 x 347 x 1997

Step 4: Therefore, the least common multiple of 7981 and 7988 is 63752228.