Least Common Multiple of 6970 and 6978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6970 and 6978 the smallest integer that is 24318330 that is divisible by both numbers.

Least Common Multiple (LCM) of 6970 and 6978 is 24318330.

LCM(6970,6978) = 24318330

LCM of 6970 and 6978

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

LCM of:
and

Least Common Multiple of 6970 and 6978

LCM of 6970 and 6978 is 24318330

Least common multiple can be found by multiplying the highest exponent prime factors of 6970 and 6978. First we will calculate the prime factors of 6970 and 6978.

Prime Factorization of 6970


2 6970
5 3485
17 697
41 41
1

Prime factors of 6970 are 2, 5, 17,41. Prime factorization of 6970 in exponential form is:

6970 = 21×51×171×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6970 and 6978.

LCM(6970,6978) = 21×31×51×171×411×11631
LCM(6970,6978) = 24318330

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970

Factors of 6978

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

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

Least Common Multiple of 6970 and 6978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6970 and 6978, than apply into the LCM equation.

GCF(6970,6978) = 2
LCM(6970,6978) = ( 6970 × 6978) / 2
LCM(6970,6978) = 48636660 / 2
LCM(6970,6978) = 24318330

Properties of LCM 6970 and 6978

(i) The LCM of 6978 and 6970 is associative

LCM of 6970 and 6978 = LCM of 6978 and 6970

Related Least Common Multiples of 6970

Related Least Common Multiples of 6978

Frequently Asked Questions on LCM of 6970 and 6978

1. What is the LCM of 6970 and 6978?

Answer: LCM of 6970 and 6978 is 24318330.

2. What are the Factors of 6970?

Answer: Factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970. There are 16 integers that are factors of 6970. The greatest factor of 6970 is 6970.

3. 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.

4. How to Find the LCM of 6970 and 6978?

Answer:

Least Common Multiple of 6970 and 6978 = 24318330

Step 1: Find the prime factorization of 6970

6970 = 2 x 5 x 17 x 41

Step 2: Find the prime factorization of 6978

6978 = 2 x 3 x 1163

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

LCM = 24318330 = 2 x 3 x 5 x 17 x 41 x 1163

Step 4: Therefore, the least common multiple of 6970 and 6978 is 24318330.