Least Common Multiple of 6971 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 6971 and 6978 the smallest integer that is 48643638 that is divisible by both numbers.

Least Common Multiple (LCM) of 6971 and 6978 is 48643638.

LCM(6971,6978) = 48643638

LCM of 6971 and 6978

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

LCM of:
and

Least Common Multiple of 6971 and 6978

LCM of 6971 and 6978 is 48643638

Least common multiple can be found by multiplying the highest exponent prime factors of 6971 and 6978. First we will calculate the prime factors of 6971 and 6978.

Prime Factorization of 6971


6971 6971
1

Prime factors of 6971 are 6971. Prime factorization of 6971 in exponential form is:

6971 = 69711

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 6971 and 6978.

LCM(6971,6978) = 21×31×11631×69711
LCM(6971,6978) = 48643638

Factors of 6971

List of positive integer factors of 6971 that divides 6971 without a remainder.

1, 6971

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 6971 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 6971 and 6978, than apply into the LCM equation.

GCF(6971,6978) = 1
LCM(6971,6978) = ( 6971 × 6978) / 1
LCM(6971,6978) = 48643638 / 1
LCM(6971,6978) = 48643638

Properties of LCM 6971 and 6978

(i) The LCM of 6978 and 6971 is associative

LCM of 6971 and 6978 = LCM of 6978 and 6971

Related Least Common Multiples of 6971

Related Least Common Multiples of 6978

Frequently Asked Questions on LCM of 6971 and 6978

1. What is the LCM of 6971 and 6978?

Answer: LCM of 6971 and 6978 is 48643638.

2. What are the Factors of 6971?

Answer: Factors of 6971 are 1, 6971. There are 2 integers that are factors of 6971. The greatest factor of 6971 is 6971.

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 6971 and 6978?

Answer:

Least Common Multiple of 6971 and 6978 = 48643638

Step 1: Find the prime factorization of 6971

6971 = 6971

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 = 48643638 = 2 x 3 x 1163 x 6971

Step 4: Therefore, the least common multiple of 6971 and 6978 is 48643638.