Least Common Multiple of 6973 and 6977

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 6977 the smallest integer that is 48650621 that is divisible by both numbers.

Least Common Multiple (LCM) of 6973 and 6977 is 48650621.

LCM(6973,6977) = 48650621

LCM of 6973 and 6977

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

LCM of:
and

Least Common Multiple of 6973 and 6977

LCM of 6973 and 6977 is 48650621

Least common multiple can be found by multiplying the highest exponent prime factors of 6973 and 6977. First we will calculate the prime factors of 6973 and 6977.

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 6977


6977 6977
1

Prime factors of 6977 are 6977. Prime factorization of 6977 in exponential form is:

6977 = 69771

Now multiplying the highest exponent prime factors to calculate the LCM of 6973 and 6977.

LCM(6973,6977) = 191×3671×69771
LCM(6973,6977) = 48650621

Factors of 6973

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

1, 19, 367, 6973

Factors of 6977

List of positive integer factors of 6977 that divides 6977 without a remainder.

1, 6977

Least Common Multiple of 6973 and 6977 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 6977, than apply into the LCM equation.

GCF(6973,6977) = 1
LCM(6973,6977) = ( 6973 × 6977) / 1
LCM(6973,6977) = 48650621 / 1
LCM(6973,6977) = 48650621

Properties of LCM 6973 and 6977

(i) The LCM of 6977 and 6973 is associative

LCM of 6973 and 6977 = LCM of 6977 and 6973

Related Least Common Multiples of 6973

Related Least Common Multiples of 6977

Frequently Asked Questions on LCM of 6973 and 6977

1. What is the LCM of 6973 and 6977?

Answer: LCM of 6973 and 6977 is 48650621.

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 6977?

Answer: Factors of 6977 are 1, 6977. There are 2 integers that are factors of 6977. The greatest factor of 6977 is 6977.

4. How to Find the LCM of 6973 and 6977?

Answer:

Least Common Multiple of 6973 and 6977 = 48650621

Step 1: Find the prime factorization of 6973

6973 = 19 x 367

Step 2: Find the prime factorization of 6977

6977 = 6977

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

LCM = 48650621 = 19 x 367 x 6977

Step 4: Therefore, the least common multiple of 6973 and 6977 is 48650621.