Least Common Multiple of 6968 and 6975

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 6975 the smallest integer that is 48601800 that is divisible by both numbers.

Least Common Multiple (LCM) of 6968 and 6975 is 48601800.

LCM(6968,6975) = 48601800

LCM of 6968 and 6975

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

LCM of:
and

Least Common Multiple of 6968 and 6975

LCM of 6968 and 6975 is 48601800

Least common multiple can be found by multiplying the highest exponent prime factors of 6968 and 6975. First we will calculate the prime factors of 6968 and 6975.

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 6975


3 6975
3 2325
5 775
5 155
31 31
1

Prime factors of 6975 are 3, 5,31. Prime factorization of 6975 in exponential form is:

6975 = 32×52×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6968 and 6975.

LCM(6968,6975) = 23×32×52×131×311×671
LCM(6968,6975) = 48601800

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 6975

List of positive integer factors of 6975 that divides 6975 without a remainder.

1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975

Least Common Multiple of 6968 and 6975 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 6975, than apply into the LCM equation.

GCF(6968,6975) = 1
LCM(6968,6975) = ( 6968 × 6975) / 1
LCM(6968,6975) = 48601800 / 1
LCM(6968,6975) = 48601800

Properties of LCM 6968 and 6975

(i) The LCM of 6975 and 6968 is associative

LCM of 6968 and 6975 = LCM of 6975 and 6968

Related Least Common Multiples of 6968

Related Least Common Multiples of 6975

Frequently Asked Questions on LCM of 6968 and 6975

1. What is the LCM of 6968 and 6975?

Answer: LCM of 6968 and 6975 is 48601800.

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 6975?

Answer: Factors of 6975 are 1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 155, 225, 279, 465, 775, 1395, 2325, 6975. There are 18 integers that are factors of 6975. The greatest factor of 6975 is 6975.

4. How to Find the LCM of 6968 and 6975?

Answer:

Least Common Multiple of 6968 and 6975 = 48601800

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 6975

6975 = 3 x 3 x 5 x 5 x 31

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

LCM = 48601800 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 31 x 67

Step 4: Therefore, the least common multiple of 6968 and 6975 is 48601800.