Least Common Multiple of 6985 and 6987

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 6987 the smallest integer that is 48804195 that is divisible by both numbers.

Least Common Multiple (LCM) of 6985 and 6987 is 48804195.

LCM(6985,6987) = 48804195

LCM of 6985 and 6987

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

LCM of:
and

Least Common Multiple of 6985 and 6987

LCM of 6985 and 6987 is 48804195

Least common multiple can be found by multiplying the highest exponent prime factors of 6985 and 6987. First we will calculate the prime factors of 6985 and 6987.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6985 and 6987.

LCM(6985,6987) = 31×51×111×171×1271×1371
LCM(6985,6987) = 48804195

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 6987

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

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

Least Common Multiple of 6985 and 6987 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 6987, than apply into the LCM equation.

GCF(6985,6987) = 1
LCM(6985,6987) = ( 6985 × 6987) / 1
LCM(6985,6987) = 48804195 / 1
LCM(6985,6987) = 48804195

Properties of LCM 6985 and 6987

(i) The LCM of 6987 and 6985 is associative

LCM of 6985 and 6987 = LCM of 6987 and 6985

Related Least Common Multiples of 6985

Related Least Common Multiples of 6987

Frequently Asked Questions on LCM of 6985 and 6987

1. What is the LCM of 6985 and 6987?

Answer: LCM of 6985 and 6987 is 48804195.

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 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.

4. How to Find the LCM of 6985 and 6987?

Answer:

Least Common Multiple of 6985 and 6987 = 48804195

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

Step 2: Find the prime factorization of 6987

6987 = 3 x 17 x 137

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

LCM = 48804195 = 3 x 5 x 11 x 17 x 127 x 137

Step 4: Therefore, the least common multiple of 6985 and 6987 is 48804195.