Least Common Multiple of 6978 and 6985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6978 and 6985 the smallest integer that is 48741330 that is divisible by both numbers.

Least Common Multiple (LCM) of 6978 and 6985 is 48741330.

LCM(6978,6985) = 48741330

LCM of 6978 and 6985

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

LCM of:
and

Least Common Multiple of 6978 and 6985

LCM of 6978 and 6985 is 48741330

Least common multiple can be found by multiplying the highest exponent prime factors of 6978 and 6985. First we will calculate the prime factors of 6978 and 6985.

Prime Factorization of 6978


2 6978
3 3489
1163 1163
1

Prime factors of 6978 are 2, 3,1163. Prime factorization of 6978 in exponential form is:

6978 = 21×31×11631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6978 and 6985.

LCM(6978,6985) = 21×31×51×111×1271×11631
LCM(6978,6985) = 48741330

Factors of 6978

List of positive integer factors of 6978 that divides 6978 without a remainder.

1, 2, 3, 6, 1163, 2326, 3489, 6978

Factors of 6985

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

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

Least Common Multiple of 6978 and 6985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6978 and 6985, than apply into the LCM equation.

GCF(6978,6985) = 1
LCM(6978,6985) = ( 6978 × 6985) / 1
LCM(6978,6985) = 48741330 / 1
LCM(6978,6985) = 48741330

Properties of LCM 6978 and 6985

(i) The LCM of 6985 and 6978 is associative

LCM of 6978 and 6985 = LCM of 6985 and 6978

Related Least Common Multiples of 6978

Related Least Common Multiples of 6985

Frequently Asked Questions on LCM of 6978 and 6985

1. What is the LCM of 6978 and 6985?

Answer: LCM of 6978 and 6985 is 48741330.

2. What are the Factors of 6978?

Answer: Factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978. There are 8 integers that are factors of 6978. The greatest factor of 6978 is 6978.

3. 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.

4. How to Find the LCM of 6978 and 6985?

Answer:

Least Common Multiple of 6978 and 6985 = 48741330

Step 1: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

Step 2: Find the prime factorization of 6985

6985 = 5 x 11 x 127

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

LCM = 48741330 = 2 x 3 x 5 x 11 x 127 x 1163

Step 4: Therefore, the least common multiple of 6978 and 6985 is 48741330.