Least Common Multiple of 6985 and 6993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6985 and 6993 the smallest integer that is 48846105 that is divisible by both numbers.

Least Common Multiple (LCM) of 6985 and 6993 is 48846105.

LCM(6985,6993) = 48846105

LCM of 6985 and 6993

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

LCM of:
and

Least Common Multiple of 6985 and 6993

LCM of 6985 and 6993 is 48846105

Least common multiple can be found by multiplying the highest exponent prime factors of 6985 and 6993. First we will calculate the prime factors of 6985 and 6993.

Prime Factorization of 6985


5 6985
11 1397
127 127
1

Prime factors of 6985 are 5, 11,127. Prime factorization of 6985 in exponential form is:

6985 = 51×111×1271

Prime Factorization of 6993


3 6993
3 2331
3 777
7 259
37 37
1

Prime factors of 6993 are 3, 7,37. Prime factorization of 6993 in exponential form is:

6993 = 33×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6985 and 6993.

LCM(6985,6993) = 33×51×71×111×371×1271
LCM(6985,6993) = 48846105

Factors of 6985

List of positive integer factors of 6985 that divides 6985 without a remainder.

1, 5, 11, 55, 127, 635, 1397, 6985

Factors of 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993

Least Common Multiple of 6985 and 6993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6993, than apply into the LCM equation.

GCF(6985,6993) = 1
LCM(6985,6993) = ( 6985 × 6993) / 1
LCM(6985,6993) = 48846105 / 1
LCM(6985,6993) = 48846105

Properties of LCM 6985 and 6993

(i) The LCM of 6993 and 6985 is associative

LCM of 6985 and 6993 = LCM of 6993 and 6985

Related Least Common Multiples of 6985

Related Least Common Multiples of 6993

Frequently Asked Questions on LCM of 6985 and 6993

1. What is the LCM of 6985 and 6993?

Answer: LCM of 6985 and 6993 is 48846105.

2. What are the Factors of 6985?

Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.

3. What are the Factors of 6993?

Answer: Factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993. There are 16 integers that are factors of 6993. The greatest factor of 6993 is 6993.

4. How to Find the LCM of 6985 and 6993?

Answer:

Least Common Multiple of 6985 and 6993 = 48846105

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

Step 2: Find the prime factorization of 6993

6993 = 3 x 3 x 3 x 7 x 37

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

LCM = 48846105 = 3 x 3 x 3 x 5 x 7 x 11 x 37 x 127

Step 4: Therefore, the least common multiple of 6985 and 6993 is 48846105.