Least Common Multiple of 6974 and 6982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6974 and 6982 the smallest integer that is 24346234 that is divisible by both numbers.

Least Common Multiple (LCM) of 6974 and 6982 is 24346234.

LCM(6974,6982) = 24346234

LCM of 6974 and 6982

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

LCM of:
and

Least Common Multiple of 6974 and 6982

LCM of 6974 and 6982 is 24346234

Least common multiple can be found by multiplying the highest exponent prime factors of 6974 and 6982. First we will calculate the prime factors of 6974 and 6982.

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

Prime Factorization of 6982


2 6982
3491 3491
1

Prime factors of 6982 are 2,3491. Prime factorization of 6982 in exponential form is:

6982 = 21×34911

Now multiplying the highest exponent prime factors to calculate the LCM of 6974 and 6982.

LCM(6974,6982) = 21×111×3171×34911
LCM(6974,6982) = 24346234

Factors of 6974

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

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

Factors of 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1, 2, 3491, 6982

Least Common Multiple of 6974 and 6982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6974 and 6982, than apply into the LCM equation.

GCF(6974,6982) = 2
LCM(6974,6982) = ( 6974 × 6982) / 2
LCM(6974,6982) = 48692468 / 2
LCM(6974,6982) = 24346234

Properties of LCM 6974 and 6982

(i) The LCM of 6982 and 6974 is associative

LCM of 6974 and 6982 = LCM of 6982 and 6974

Related Least Common Multiples of 6974

Related Least Common Multiples of 6982

Frequently Asked Questions on LCM of 6974 and 6982

1. What is the LCM of 6974 and 6982?

Answer: LCM of 6974 and 6982 is 24346234.

2. 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.

3. What are the Factors of 6982?

Answer: Factors of 6982 are 1, 2, 3491, 6982. There are 4 integers that are factors of 6982. The greatest factor of 6982 is 6982.

4. How to Find the LCM of 6974 and 6982?

Answer:

Least Common Multiple of 6974 and 6982 = 24346234

Step 1: Find the prime factorization of 6974

6974 = 2 x 11 x 317

Step 2: Find the prime factorization of 6982

6982 = 2 x 3491

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

LCM = 24346234 = 2 x 11 x 317 x 3491

Step 4: Therefore, the least common multiple of 6974 and 6982 is 24346234.