Least Common Multiple of 6990 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 6990 and 6994 the smallest integer that is 24444030 that is divisible by both numbers.

Least Common Multiple (LCM) of 6990 and 6994 is 24444030.

LCM(6990,6994) = 24444030

LCM of 6990 and 6994

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

LCM of:
and

Least Common Multiple of 6990 and 6994

LCM of 6990 and 6994 is 24444030

Least common multiple can be found by multiplying the highest exponent prime factors of 6990 and 6994. First we will calculate the prime factors of 6990 and 6994.

Prime Factorization of 6990


2 6990
3 3495
5 1165
233 233
1

Prime factors of 6990 are 2, 3, 5,233. Prime factorization of 6990 in exponential form is:

6990 = 21×31×51×2331

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 6990 and 6994.

LCM(6990,6994) = 21×31×51×131×2331×2691
LCM(6990,6994) = 24444030

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990

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 6990 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 6990 and 6994, than apply into the LCM equation.

GCF(6990,6994) = 2
LCM(6990,6994) = ( 6990 × 6994) / 2
LCM(6990,6994) = 48888060 / 2
LCM(6990,6994) = 24444030

Properties of LCM 6990 and 6994

(i) The LCM of 6994 and 6990 is associative

LCM of 6990 and 6994 = LCM of 6994 and 6990

Related Least Common Multiples of 6990

Related Least Common Multiples of 6994

Frequently Asked Questions on LCM of 6990 and 6994

1. What is the LCM of 6990 and 6994?

Answer: LCM of 6990 and 6994 is 24444030.

2. What are the Factors of 6990?

Answer: Factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990. There are 16 integers that are factors of 6990. The greatest factor of 6990 is 6990.

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 6990 and 6994?

Answer:

Least Common Multiple of 6990 and 6994 = 24444030

Step 1: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

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 = 24444030 = 2 x 3 x 5 x 13 x 233 x 269

Step 4: Therefore, the least common multiple of 6990 and 6994 is 24444030.