Least Common Multiple of 6985 and 6988

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 6988 the smallest integer that is 48811180 that is divisible by both numbers.

Least Common Multiple (LCM) of 6985 and 6988 is 48811180.

LCM(6985,6988) = 48811180

LCM of 6985 and 6988

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

LCM of:
and

Least Common Multiple of 6985 and 6988

LCM of 6985 and 6988 is 48811180

Least common multiple can be found by multiplying the highest exponent prime factors of 6985 and 6988. First we will calculate the prime factors of 6985 and 6988.

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 6988


2 6988
2 3494
1747 1747
1

Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:

6988 = 22×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 6985 and 6988.

LCM(6985,6988) = 22×51×111×1271×17471
LCM(6985,6988) = 48811180

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 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1, 2, 4, 1747, 3494, 6988

Least Common Multiple of 6985 and 6988 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 6988, than apply into the LCM equation.

GCF(6985,6988) = 1
LCM(6985,6988) = ( 6985 × 6988) / 1
LCM(6985,6988) = 48811180 / 1
LCM(6985,6988) = 48811180

Properties of LCM 6985 and 6988

(i) The LCM of 6988 and 6985 is associative

LCM of 6985 and 6988 = LCM of 6988 and 6985

Related Least Common Multiples of 6985

Related Least Common Multiples of 6988

Frequently Asked Questions on LCM of 6985 and 6988

1. What is the LCM of 6985 and 6988?

Answer: LCM of 6985 and 6988 is 48811180.

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 6988?

Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.

4. How to Find the LCM of 6985 and 6988?

Answer:

Least Common Multiple of 6985 and 6988 = 48811180

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

Step 2: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

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

LCM = 48811180 = 2 x 2 x 5 x 11 x 127 x 1747

Step 4: Therefore, the least common multiple of 6985 and 6988 is 48811180.