Least Common Multiple of 6968 and 6974

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 6974 the smallest integer that is 24297416 that is divisible by both numbers.

Least Common Multiple (LCM) of 6968 and 6974 is 24297416.

LCM(6968,6974) = 24297416

LCM of 6968 and 6974

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

LCM of:
and

Least Common Multiple of 6968 and 6974

LCM of 6968 and 6974 is 24297416

Least common multiple can be found by multiplying the highest exponent prime factors of 6968 and 6974. First we will calculate the prime factors of 6968 and 6974.

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 6974


2 6974
11 3487
317 317
1

Prime factors of 6974 are 2, 11,317. Prime factorization of 6974 in exponential form is:

6974 = 21×111×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 6968 and 6974.

LCM(6968,6974) = 23×111×131×671×3171
LCM(6968,6974) = 24297416

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 6974

List of positive integer factors of 6974 that divides 6974 without a remainder.

1, 2, 11, 22, 317, 634, 3487, 6974

Least Common Multiple of 6968 and 6974 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 6974, than apply into the LCM equation.

GCF(6968,6974) = 2
LCM(6968,6974) = ( 6968 × 6974) / 2
LCM(6968,6974) = 48594832 / 2
LCM(6968,6974) = 24297416

Properties of LCM 6968 and 6974

(i) The LCM of 6974 and 6968 is associative

LCM of 6968 and 6974 = LCM of 6974 and 6968

Related Least Common Multiples of 6968

Related Least Common Multiples of 6974

Frequently Asked Questions on LCM of 6968 and 6974

1. What is the LCM of 6968 and 6974?

Answer: LCM of 6968 and 6974 is 24297416.

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 6974?

Answer: Factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974. There are 8 integers that are factors of 6974. The greatest factor of 6974 is 6974.

4. How to Find the LCM of 6968 and 6974?

Answer:

Least Common Multiple of 6968 and 6974 = 24297416

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 6974

6974 = 2 x 11 x 317

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

LCM = 24297416 = 2 x 2 x 2 x 11 x 13 x 67 x 317

Step 4: Therefore, the least common multiple of 6968 and 6974 is 24297416.