Least Common Multiple of 6989 and 6995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6989 and 6995 the smallest integer that is 48888055 that is divisible by both numbers.

Least Common Multiple (LCM) of 6989 and 6995 is 48888055.

LCM(6989,6995) = 48888055

LCM of 6989 and 6995

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

LCM of:
and

Least Common Multiple of 6989 and 6995

LCM of 6989 and 6995 is 48888055

Least common multiple can be found by multiplying the highest exponent prime factors of 6989 and 6995. First we will calculate the prime factors of 6989 and 6995.

Prime Factorization of 6989


29 6989
241 241
1

Prime factors of 6989 are 29,241. Prime factorization of 6989 in exponential form is:

6989 = 291×2411

Prime Factorization of 6995


5 6995
1399 1399
1

Prime factors of 6995 are 5,1399. Prime factorization of 6995 in exponential form is:

6995 = 51×13991

Now multiplying the highest exponent prime factors to calculate the LCM of 6989 and 6995.

LCM(6989,6995) = 51×291×2411×13991
LCM(6989,6995) = 48888055

Factors of 6989

List of positive integer factors of 6989 that divides 6989 without a remainder.

1, 29, 241, 6989

Factors of 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1, 5, 1399, 6995

Least Common Multiple of 6989 and 6995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6989 and 6995, than apply into the LCM equation.

GCF(6989,6995) = 1
LCM(6989,6995) = ( 6989 × 6995) / 1
LCM(6989,6995) = 48888055 / 1
LCM(6989,6995) = 48888055

Properties of LCM 6989 and 6995

(i) The LCM of 6995 and 6989 is associative

LCM of 6989 and 6995 = LCM of 6995 and 6989

Related Least Common Multiples of 6989

Related Least Common Multiples of 6995

Frequently Asked Questions on LCM of 6989 and 6995

1. What is the LCM of 6989 and 6995?

Answer: LCM of 6989 and 6995 is 48888055.

2. What are the Factors of 6989?

Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.

3. What are the Factors of 6995?

Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.

4. How to Find the LCM of 6989 and 6995?

Answer:

Least Common Multiple of 6989 and 6995 = 48888055

Step 1: Find the prime factorization of 6989

6989 = 29 x 241

Step 2: Find the prime factorization of 6995

6995 = 5 x 1399

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

LCM = 48888055 = 5 x 29 x 241 x 1399

Step 4: Therefore, the least common multiple of 6989 and 6995 is 48888055.