Least Common Multiple of 4966 and 4974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4966 and 4974 the smallest integer that is 12350442 that is divisible by both numbers.

Least Common Multiple (LCM) of 4966 and 4974 is 12350442.

LCM(4966,4974) = 12350442

LCM of 4966 and 4974

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

LCM of:
and

Least Common Multiple of 4966 and 4974

LCM of 4966 and 4974 is 12350442

Least common multiple can be found by multiplying the highest exponent prime factors of 4966 and 4974. First we will calculate the prime factors of 4966 and 4974.

Prime Factorization of 4966


2 4966
13 2483
191 191
1

Prime factors of 4966 are 2, 13,191. Prime factorization of 4966 in exponential form is:

4966 = 21×131×1911

Prime Factorization of 4974


2 4974
3 2487
829 829
1

Prime factors of 4974 are 2, 3,829. Prime factorization of 4974 in exponential form is:

4974 = 21×31×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 4966 and 4974.

LCM(4966,4974) = 21×31×131×1911×8291
LCM(4966,4974) = 12350442

Factors of 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1, 2, 13, 26, 191, 382, 2483, 4966

Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1, 2, 3, 6, 829, 1658, 2487, 4974

Least Common Multiple of 4966 and 4974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4966 and 4974, than apply into the LCM equation.

GCF(4966,4974) = 2
LCM(4966,4974) = ( 4966 × 4974) / 2
LCM(4966,4974) = 24700884 / 2
LCM(4966,4974) = 12350442

Properties of LCM 4966 and 4974

(i) The LCM of 4974 and 4966 is associative

LCM of 4966 and 4974 = LCM of 4974 and 4966

Related Least Common Multiples of 4966

Related Least Common Multiples of 4974

Frequently Asked Questions on LCM of 4966 and 4974

1. What is the LCM of 4966 and 4974?

Answer: LCM of 4966 and 4974 is 12350442.

2. What are the Factors of 4966?

Answer: Factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966. There are 8 integers that are factors of 4966. The greatest factor of 4966 is 4966.

3. What are the Factors of 4974?

Answer: Factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974. There are 8 integers that are factors of 4974. The greatest factor of 4974 is 4974.

4. How to Find the LCM of 4966 and 4974?

Answer:

Least Common Multiple of 4966 and 4974 = 12350442

Step 1: Find the prime factorization of 4966

4966 = 2 x 13 x 191

Step 2: Find the prime factorization of 4974

4974 = 2 x 3 x 829

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

LCM = 12350442 = 2 x 3 x 13 x 191 x 829

Step 4: Therefore, the least common multiple of 4966 and 4974 is 12350442.