Least Common Multiple of 66982 and 66986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66982 and 66986 the smallest integer that is 2243428126 that is divisible by both numbers.

Least Common Multiple (LCM) of 66982 and 66986 is 2243428126.

LCM(66982,66986) = 2243428126

LCM of 66982 and 66986

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

LCM of:
and

Least Common Multiple of 66982 and 66986

LCM of 66982 and 66986 is 2243428126

Least common multiple can be found by multiplying the highest exponent prime factors of 66982 and 66986. First we will calculate the prime factors of 66982 and 66986.

Prime Factorization of 66982


2 66982
107 33491
313 313
1

Prime factors of 66982 are 2, 107,313. Prime factorization of 66982 in exponential form is:

66982 = 21×1071×3131

Prime Factorization of 66986


2 66986
33493 33493
1

Prime factors of 66986 are 2,33493. Prime factorization of 66986 in exponential form is:

66986 = 21×334931

Now multiplying the highest exponent prime factors to calculate the LCM of 66982 and 66986.

LCM(66982,66986) = 21×1071×3131×334931
LCM(66982,66986) = 2243428126

Factors of 66982

List of positive integer factors of 66982 that divides 66982 without a remainder.

1, 2, 107, 214, 313, 626, 33491, 66982

Factors of 66986

List of positive integer factors of 66986 that divides 66986 without a remainder.

1, 2, 33493, 66986

Least Common Multiple of 66982 and 66986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66982 and 66986, than apply into the LCM equation.

GCF(66982,66986) = 2
LCM(66982,66986) = ( 66982 × 66986) / 2
LCM(66982,66986) = 4486856252 / 2
LCM(66982,66986) = 2243428126

Properties of LCM 66982 and 66986

(i) The LCM of 66986 and 66982 is associative

LCM of 66982 and 66986 = LCM of 66986 and 66982

Related Least Common Multiples of 66982

Related Least Common Multiples of 66986

Frequently Asked Questions on LCM of 66982 and 66986

1. What is the LCM of 66982 and 66986?

Answer: LCM of 66982 and 66986 is 2243428126.

2. What are the Factors of 66982?

Answer: Factors of 66982 are 1, 2, 107, 214, 313, 626, 33491, 66982. There are 8 integers that are factors of 66982. The greatest factor of 66982 is 66982.

3. What are the Factors of 66986?

Answer: Factors of 66986 are 1, 2, 33493, 66986. There are 4 integers that are factors of 66986. The greatest factor of 66986 is 66986.

4. How to Find the LCM of 66982 and 66986?

Answer:

Least Common Multiple of 66982 and 66986 = 2243428126

Step 1: Find the prime factorization of 66982

66982 = 2 x 107 x 313

Step 2: Find the prime factorization of 66986

66986 = 2 x 33493

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

LCM = 2243428126 = 2 x 107 x 313 x 33493

Step 4: Therefore, the least common multiple of 66982 and 66986 is 2243428126.