Least Common Multiple of 6987 and 6994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6987 and 6994 the smallest integer that is 48867078 that is divisible by both numbers.

Least Common Multiple (LCM) of 6987 and 6994 is 48867078.

LCM(6987,6994) = 48867078

LCM of 6987 and 6994

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

LCM of:
and

Least Common Multiple of 6987 and 6994

LCM of 6987 and 6994 is 48867078

Least common multiple can be found by multiplying the highest exponent prime factors of 6987 and 6994. First we will calculate the prime factors of 6987 and 6994.

Prime Factorization of 6987


3 6987
17 2329
137 137
1

Prime factors of 6987 are 3, 17,137. Prime factorization of 6987 in exponential form is:

6987 = 31×171×1371

Prime Factorization of 6994


2 6994
13 3497
269 269
1

Prime factors of 6994 are 2, 13,269. Prime factorization of 6994 in exponential form is:

6994 = 21×131×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 6987 and 6994.

LCM(6987,6994) = 21×31×131×171×1371×2691
LCM(6987,6994) = 48867078

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1, 3, 17, 51, 137, 411, 2329, 6987

Factors of 6994

List of positive integer factors of 6994 that divides 6994 without a remainder.

1, 2, 13, 26, 269, 538, 3497, 6994

Least Common Multiple of 6987 and 6994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6987 and 6994, than apply into the LCM equation.

GCF(6987,6994) = 1
LCM(6987,6994) = ( 6987 × 6994) / 1
LCM(6987,6994) = 48867078 / 1
LCM(6987,6994) = 48867078

Properties of LCM 6987 and 6994

(i) The LCM of 6994 and 6987 is associative

LCM of 6987 and 6994 = LCM of 6994 and 6987

Related Least Common Multiples of 6987

Related Least Common Multiples of 6994

Frequently Asked Questions on LCM of 6987 and 6994

1. What is the LCM of 6987 and 6994?

Answer: LCM of 6987 and 6994 is 48867078.

2. What are the Factors of 6987?

Answer: Factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987. There are 8 integers that are factors of 6987. The greatest factor of 6987 is 6987.

3. What are the Factors of 6994?

Answer: Factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994. There are 8 integers that are factors of 6994. The greatest factor of 6994 is 6994.

4. How to Find the LCM of 6987 and 6994?

Answer:

Least Common Multiple of 6987 and 6994 = 48867078

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

Step 2: Find the prime factorization of 6994

6994 = 2 x 13 x 269

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

LCM = 48867078 = 2 x 3 x 13 x 17 x 137 x 269

Step 4: Therefore, the least common multiple of 6987 and 6994 is 48867078.