Least Common Multiple of 66982 and 66988

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 66988 the smallest integer that is 2243495108 that is divisible by both numbers.

Least Common Multiple (LCM) of 66982 and 66988 is 2243495108.

LCM(66982,66988) = 2243495108

LCM of 66982 and 66988

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

LCM of:
and

Least Common Multiple of 66982 and 66988

LCM of 66982 and 66988 is 2243495108

Least common multiple can be found by multiplying the highest exponent prime factors of 66982 and 66988. First we will calculate the prime factors of 66982 and 66988.

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 66988


2 66988
2 33494
16747 16747
1

Prime factors of 66988 are 2,16747. Prime factorization of 66988 in exponential form is:

66988 = 22×167471

Now multiplying the highest exponent prime factors to calculate the LCM of 66982 and 66988.

LCM(66982,66988) = 22×1071×3131×167471
LCM(66982,66988) = 2243495108

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 66988

List of positive integer factors of 66988 that divides 66988 without a remainder.

1, 2, 4, 16747, 33494, 66988

Least Common Multiple of 66982 and 66988 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 66988, than apply into the LCM equation.

GCF(66982,66988) = 2
LCM(66982,66988) = ( 66982 × 66988) / 2
LCM(66982,66988) = 4486990216 / 2
LCM(66982,66988) = 2243495108

Properties of LCM 66982 and 66988

(i) The LCM of 66988 and 66982 is associative

LCM of 66982 and 66988 = LCM of 66988 and 66982

Related Least Common Multiples of 66982

Related Least Common Multiples of 66988

Frequently Asked Questions on LCM of 66982 and 66988

1. What is the LCM of 66982 and 66988?

Answer: LCM of 66982 and 66988 is 2243495108.

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 66988?

Answer: Factors of 66988 are 1, 2, 4, 16747, 33494, 66988. There are 6 integers that are factors of 66988. The greatest factor of 66988 is 66988.

4. How to Find the LCM of 66982 and 66988?

Answer:

Least Common Multiple of 66982 and 66988 = 2243495108

Step 1: Find the prime factorization of 66982

66982 = 2 x 107 x 313

Step 2: Find the prime factorization of 66988

66988 = 2 x 2 x 16747

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

LCM = 2243495108 = 2 x 2 x 107 x 313 x 16747

Step 4: Therefore, the least common multiple of 66982 and 66988 is 2243495108.