Least Common Multiple of 6967 and 6973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6967 and 6973 the smallest integer that is 48580891 that is divisible by both numbers.

Least Common Multiple (LCM) of 6967 and 6973 is 48580891.

LCM(6967,6973) = 48580891

LCM of 6967 and 6973

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

LCM of:
and

Least Common Multiple of 6967 and 6973

LCM of 6967 and 6973 is 48580891

Least common multiple can be found by multiplying the highest exponent prime factors of 6967 and 6973. First we will calculate the prime factors of 6967 and 6973.

Prime Factorization of 6967


6967 6967
1

Prime factors of 6967 are 6967. Prime factorization of 6967 in exponential form is:

6967 = 69671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6967 and 6973.

LCM(6967,6973) = 191×3671×69671
LCM(6967,6973) = 48580891

Factors of 6967

List of positive integer factors of 6967 that divides 6967 without a remainder.

1, 6967

Factors of 6973

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

1, 19, 367, 6973

Least Common Multiple of 6967 and 6973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6967 and 6973, than apply into the LCM equation.

GCF(6967,6973) = 1
LCM(6967,6973) = ( 6967 × 6973) / 1
LCM(6967,6973) = 48580891 / 1
LCM(6967,6973) = 48580891

Properties of LCM 6967 and 6973

(i) The LCM of 6973 and 6967 is associative

LCM of 6967 and 6973 = LCM of 6973 and 6967

Related Least Common Multiples of 6967

Related Least Common Multiples of 6973

Frequently Asked Questions on LCM of 6967 and 6973

1. What is the LCM of 6967 and 6973?

Answer: LCM of 6967 and 6973 is 48580891.

2. What are the Factors of 6967?

Answer: Factors of 6967 are 1, 6967. There are 2 integers that are factors of 6967. The greatest factor of 6967 is 6967.

3. 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.

4. How to Find the LCM of 6967 and 6973?

Answer:

Least Common Multiple of 6967 and 6973 = 48580891

Step 1: Find the prime factorization of 6967

6967 = 6967

Step 2: Find the prime factorization of 6973

6973 = 19 x 367

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

LCM = 48580891 = 19 x 367 x 6967

Step 4: Therefore, the least common multiple of 6967 and 6973 is 48580891.