Least Common Multiple of 6971 and 6979

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 6979 the smallest integer that is 48650609 that is divisible by both numbers.

Least Common Multiple (LCM) of 6971 and 6979 is 48650609.

LCM(6971,6979) = 48650609

LCM of 6971 and 6979

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

LCM of:
and

Least Common Multiple of 6971 and 6979

LCM of 6971 and 6979 is 48650609

Least common multiple can be found by multiplying the highest exponent prime factors of 6971 and 6979. First we will calculate the prime factors of 6971 and 6979.

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 6979


7 6979
997 997
1

Prime factors of 6979 are 7,997. Prime factorization of 6979 in exponential form is:

6979 = 71×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 6971 and 6979.

LCM(6971,6979) = 71×9971×69711
LCM(6971,6979) = 48650609

Factors of 6971

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

1, 6971

Factors of 6979

List of positive integer factors of 6979 that divides 6979 without a remainder.

1, 7, 997, 6979

Least Common Multiple of 6971 and 6979 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 6979, than apply into the LCM equation.

GCF(6971,6979) = 1
LCM(6971,6979) = ( 6971 × 6979) / 1
LCM(6971,6979) = 48650609 / 1
LCM(6971,6979) = 48650609

Properties of LCM 6971 and 6979

(i) The LCM of 6979 and 6971 is associative

LCM of 6971 and 6979 = LCM of 6979 and 6971

Related Least Common Multiples of 6971

Related Least Common Multiples of 6979

Frequently Asked Questions on LCM of 6971 and 6979

1. What is the LCM of 6971 and 6979?

Answer: LCM of 6971 and 6979 is 48650609.

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 6979?

Answer: Factors of 6979 are 1, 7, 997, 6979. There are 4 integers that are factors of 6979. The greatest factor of 6979 is 6979.

4. How to Find the LCM of 6971 and 6979?

Answer:

Least Common Multiple of 6971 and 6979 = 48650609

Step 1: Find the prime factorization of 6971

6971 = 6971

Step 2: Find the prime factorization of 6979

6979 = 7 x 997

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

LCM = 48650609 = 7 x 997 x 6971

Step 4: Therefore, the least common multiple of 6971 and 6979 is 48650609.