Least Common Multiple of 7989 and 7997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7989 and 7997 the smallest integer that is 63888033 that is divisible by both numbers.

Least Common Multiple (LCM) of 7989 and 7997 is 63888033.

LCM(7989,7997) = 63888033

LCM of 7989 and 7997

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

LCM of:
and

Least Common Multiple of 7989 and 7997

LCM of 7989 and 7997 is 63888033

Least common multiple can be found by multiplying the highest exponent prime factors of 7989 and 7997. First we will calculate the prime factors of 7989 and 7997.

Prime Factorization of 7989


3 7989
2663 2663
1

Prime factors of 7989 are 3,2663. Prime factorization of 7989 in exponential form is:

7989 = 31×26631

Prime Factorization of 7997


11 7997
727 727
1

Prime factors of 7997 are 11,727. Prime factorization of 7997 in exponential form is:

7997 = 111×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 7989 and 7997.

LCM(7989,7997) = 31×111×7271×26631
LCM(7989,7997) = 63888033

Factors of 7989

List of positive integer factors of 7989 that divides 7989 without a remainder.

1, 3, 2663, 7989

Factors of 7997

List of positive integer factors of 7997 that divides 7997 without a remainder.

1, 11, 727, 7997

Least Common Multiple of 7989 and 7997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7989 and 7997, than apply into the LCM equation.

GCF(7989,7997) = 1
LCM(7989,7997) = ( 7989 × 7997) / 1
LCM(7989,7997) = 63888033 / 1
LCM(7989,7997) = 63888033

Properties of LCM 7989 and 7997

(i) The LCM of 7997 and 7989 is associative

LCM of 7989 and 7997 = LCM of 7997 and 7989

Related Least Common Multiples of 7989

Related Least Common Multiples of 7997

Frequently Asked Questions on LCM of 7989 and 7997

1. What is the LCM of 7989 and 7997?

Answer: LCM of 7989 and 7997 is 63888033.

2. What are the Factors of 7989?

Answer: Factors of 7989 are 1, 3, 2663, 7989. There are 4 integers that are factors of 7989. The greatest factor of 7989 is 7989.

3. What are the Factors of 7997?

Answer: Factors of 7997 are 1, 11, 727, 7997. There are 4 integers that are factors of 7997. The greatest factor of 7997 is 7997.

4. How to Find the LCM of 7989 and 7997?

Answer:

Least Common Multiple of 7989 and 7997 = 63888033

Step 1: Find the prime factorization of 7989

7989 = 3 x 2663

Step 2: Find the prime factorization of 7997

7997 = 11 x 727

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

LCM = 63888033 = 3 x 11 x 727 x 2663

Step 4: Therefore, the least common multiple of 7989 and 7997 is 63888033.