Least Common Multiple of 6990 and 6996

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 6996 the smallest integer that is 8150340 that is divisible by both numbers.

Least Common Multiple (LCM) of 6990 and 6996 is 8150340.

LCM(6990,6996) = 8150340

LCM of 6990 and 6996

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

LCM of:
and

Least Common Multiple of 6990 and 6996

LCM of 6990 and 6996 is 8150340

Least common multiple can be found by multiplying the highest exponent prime factors of 6990 and 6996. First we will calculate the prime factors of 6990 and 6996.

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 6996


2 6996
2 3498
3 1749
11 583
53 53
1

Prime factors of 6996 are 2, 3, 11,53. Prime factorization of 6996 in exponential form is:

6996 = 22×31×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6990 and 6996.

LCM(6990,6996) = 22×31×51×111×531×2331
LCM(6990,6996) = 8150340

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 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996

Least Common Multiple of 6990 and 6996 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 6996, than apply into the LCM equation.

GCF(6990,6996) = 6
LCM(6990,6996) = ( 6990 × 6996) / 6
LCM(6990,6996) = 48902040 / 6
LCM(6990,6996) = 8150340

Properties of LCM 6990 and 6996

(i) The LCM of 6996 and 6990 is associative

LCM of 6990 and 6996 = LCM of 6996 and 6990

Related Least Common Multiples of 6990

Related Least Common Multiples of 6996

Frequently Asked Questions on LCM of 6990 and 6996

1. What is the LCM of 6990 and 6996?

Answer: LCM of 6990 and 6996 is 8150340.

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 6996?

Answer: Factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996. There are 24 integers that are factors of 6996. The greatest factor of 6996 is 6996.

4. How to Find the LCM of 6990 and 6996?

Answer:

Least Common Multiple of 6990 and 6996 = 8150340

Step 1: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

Step 2: Find the prime factorization of 6996

6996 = 2 x 2 x 3 x 11 x 53

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

LCM = 8150340 = 2 x 2 x 3 x 5 x 11 x 53 x 233

Step 4: Therefore, the least common multiple of 6990 and 6996 is 8150340.