Least Common Multiple of 6968 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 6968 and 6973 the smallest integer that is 48587864 that is divisible by both numbers.

Least Common Multiple (LCM) of 6968 and 6973 is 48587864.

LCM(6968,6973) = 48587864

LCM of 6968 and 6973

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

LCM of:
and

Least Common Multiple of 6968 and 6973

LCM of 6968 and 6973 is 48587864

Least common multiple can be found by multiplying the highest exponent prime factors of 6968 and 6973. First we will calculate the prime factors of 6968 and 6973.

Prime Factorization of 6968


2 6968
2 3484
2 1742
13 871
67 67
1

Prime factors of 6968 are 2, 13,67. Prime factorization of 6968 in exponential form is:

6968 = 23×131×671

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 6968 and 6973.

LCM(6968,6973) = 23×131×191×671×3671
LCM(6968,6973) = 48587864

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968

Factors of 6973

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

1, 19, 367, 6973

Least Common Multiple of 6968 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 6968 and 6973, than apply into the LCM equation.

GCF(6968,6973) = 1
LCM(6968,6973) = ( 6968 × 6973) / 1
LCM(6968,6973) = 48587864 / 1
LCM(6968,6973) = 48587864

Properties of LCM 6968 and 6973

(i) The LCM of 6973 and 6968 is associative

LCM of 6968 and 6973 = LCM of 6973 and 6968

Related Least Common Multiples of 6968

Related Least Common Multiples of 6973

Frequently Asked Questions on LCM of 6968 and 6973

1. What is the LCM of 6968 and 6973?

Answer: LCM of 6968 and 6973 is 48587864.

2. What are the Factors of 6968?

Answer: Factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968. There are 16 integers that are factors of 6968. The greatest factor of 6968 is 6968.

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 6968 and 6973?

Answer:

Least Common Multiple of 6968 and 6973 = 48587864

Step 1: Find the prime factorization of 6968

6968 = 2 x 2 x 2 x 13 x 67

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 = 48587864 = 2 x 2 x 2 x 13 x 19 x 67 x 367

Step 4: Therefore, the least common multiple of 6968 and 6973 is 48587864.