Least Common Multiple of 6989 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 6989 and 6996 the smallest integer that is 48895044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6989 and 6996 is 48895044.

LCM(6989,6996) = 48895044

LCM of 6989 and 6996

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

LCM of:
and

Least Common Multiple of 6989 and 6996

LCM of 6989 and 6996 is 48895044

Least common multiple can be found by multiplying the highest exponent prime factors of 6989 and 6996. First we will calculate the prime factors of 6989 and 6996.

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 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 6989 and 6996.

LCM(6989,6996) = 22×31×111×291×531×2411
LCM(6989,6996) = 48895044

Factors of 6989

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

1, 29, 241, 6989

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 6989 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 6989 and 6996, than apply into the LCM equation.

GCF(6989,6996) = 1
LCM(6989,6996) = ( 6989 × 6996) / 1
LCM(6989,6996) = 48895044 / 1
LCM(6989,6996) = 48895044

Properties of LCM 6989 and 6996

(i) The LCM of 6996 and 6989 is associative

LCM of 6989 and 6996 = LCM of 6996 and 6989

Related Least Common Multiples of 6989

Related Least Common Multiples of 6996

Frequently Asked Questions on LCM of 6989 and 6996

1. What is the LCM of 6989 and 6996?

Answer: LCM of 6989 and 6996 is 48895044.

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 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 6989 and 6996?

Answer:

Least Common Multiple of 6989 and 6996 = 48895044

Step 1: Find the prime factorization of 6989

6989 = 29 x 241

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 = 48895044 = 2 x 2 x 3 x 11 x 29 x 53 x 241

Step 4: Therefore, the least common multiple of 6989 and 6996 is 48895044.