Least Common Multiple of 6973 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 6973 and 6979 the smallest integer that is 48664567 that is divisible by both numbers.

Least Common Multiple (LCM) of 6973 and 6979 is 48664567.

LCM(6973,6979) = 48664567

LCM of 6973 and 6979

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

LCM of:
and

Least Common Multiple of 6973 and 6979

LCM of 6973 and 6979 is 48664567

Least common multiple can be found by multiplying the highest exponent prime factors of 6973 and 6979. First we will calculate the prime factors of 6973 and 6979.

Prime Factorization of 6973


19 6973
367 367
1

Prime factors of 6973 are 19,367. Prime factorization of 6973 in exponential form is:

6973 = 191×3671

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 6973 and 6979.

LCM(6973,6979) = 71×191×3671×9971
LCM(6973,6979) = 48664567

Factors of 6973

List of positive integer factors of 6973 that divides 6973 without a remainder.

1, 19, 367, 6973

Factors of 6979

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

1, 7, 997, 6979

Least Common Multiple of 6973 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 6973 and 6979, than apply into the LCM equation.

GCF(6973,6979) = 1
LCM(6973,6979) = ( 6973 × 6979) / 1
LCM(6973,6979) = 48664567 / 1
LCM(6973,6979) = 48664567

Properties of LCM 6973 and 6979

(i) The LCM of 6979 and 6973 is associative

LCM of 6973 and 6979 = LCM of 6979 and 6973

Related Least Common Multiples of 6973

Related Least Common Multiples of 6979

Frequently Asked Questions on LCM of 6973 and 6979

1. What is the LCM of 6973 and 6979?

Answer: LCM of 6973 and 6979 is 48664567.

2. What are the Factors of 6973?

Answer: Factors of 6973 are 1, 19, 367, 6973. There are 4 integers that are factors of 6973. The greatest factor of 6973 is 6973.

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 6973 and 6979?

Answer:

Least Common Multiple of 6973 and 6979 = 48664567

Step 1: Find the prime factorization of 6973

6973 = 19 x 367

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 = 48664567 = 7 x 19 x 367 x 997

Step 4: Therefore, the least common multiple of 6973 and 6979 is 48664567.