Least Common Multiple of 66990 and 66994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66990 and 66994 the smallest integer that is 2243964030 that is divisible by both numbers.

Least Common Multiple (LCM) of 66990 and 66994 is 2243964030.

LCM(66990,66994) = 2243964030

LCM of 66990 and 66994

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

LCM of:
and

Least Common Multiple of 66990 and 66994

LCM of 66990 and 66994 is 2243964030

Least common multiple can be found by multiplying the highest exponent prime factors of 66990 and 66994. First we will calculate the prime factors of 66990 and 66994.

Prime Factorization of 66990


2 66990
3 33495
5 11165
7 2233
11 319
29 29
1

Prime factors of 66990 are 2, 3, 5, 7, 11,29. Prime factorization of 66990 in exponential form is:

66990 = 21×31×51×71×111×291

Prime Factorization of 66994


2 66994
19 33497
41 1763
43 43
1

Prime factors of 66994 are 2, 19, 41,43. Prime factorization of 66994 in exponential form is:

66994 = 21×191×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 66990 and 66994.

LCM(66990,66994) = 21×31×51×71×111×191×291×411×431
LCM(66990,66994) = 2243964030

Factors of 66990

List of positive integer factors of 66990 that divides 66990 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 29, 30, 33, 35, 42, 55, 58, 66, 70, 77, 87, 105, 110, 145, 154, 165, 174, 203, 210, 231, 290, 319, 330, 385, 406, 435, 462, 609, 638, 770, 870, 957, 1015, 1155, 1218, 1595, 1914, 2030, 2233, 2310, 3045, 3190, 4466, 4785, 6090, 6699, 9570, 11165, 13398, 22330, 33495, 66990

Factors of 66994

List of positive integer factors of 66994 that divides 66994 without a remainder.

1, 2, 19, 38, 41, 43, 82, 86, 779, 817, 1558, 1634, 1763, 3526, 33497, 66994

Least Common Multiple of 66990 and 66994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66990 and 66994, than apply into the LCM equation.

GCF(66990,66994) = 2
LCM(66990,66994) = ( 66990 × 66994) / 2
LCM(66990,66994) = 4487928060 / 2
LCM(66990,66994) = 2243964030

Properties of LCM 66990 and 66994

(i) The LCM of 66994 and 66990 is associative

LCM of 66990 and 66994 = LCM of 66994 and 66990

Related Least Common Multiples of 66990

Related Least Common Multiples of 66994

Frequently Asked Questions on LCM of 66990 and 66994

1. What is the LCM of 66990 and 66994?

Answer: LCM of 66990 and 66994 is 2243964030.

2. What are the Factors of 66990?

Answer: Factors of 66990 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 29, 30, 33, 35, 42, 55, 58, 66, 70, 77, 87, 105, 110, 145, 154, 165, 174, 203, 210, 231, 290, 319, 330, 385, 406, 435, 462, 609, 638, 770, 870, 957, 1015, 1155, 1218, 1595, 1914, 2030, 2233, 2310, 3045, 3190, 4466, 4785, 6090, 6699, 9570, 11165, 13398, 22330, 33495, 66990. There are 64 integers that are factors of 66990. The greatest factor of 66990 is 66990.

3. What are the Factors of 66994?

Answer: Factors of 66994 are 1, 2, 19, 38, 41, 43, 82, 86, 779, 817, 1558, 1634, 1763, 3526, 33497, 66994. There are 16 integers that are factors of 66994. The greatest factor of 66994 is 66994.

4. How to Find the LCM of 66990 and 66994?

Answer:

Least Common Multiple of 66990 and 66994 = 2243964030

Step 1: Find the prime factorization of 66990

66990 = 2 x 3 x 5 x 7 x 11 x 29

Step 2: Find the prime factorization of 66994

66994 = 2 x 19 x 41 x 43

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

LCM = 2243964030 = 2 x 3 x 5 x 7 x 11 x 19 x 29 x 41 x 43

Step 4: Therefore, the least common multiple of 66990 and 66994 is 2243964030.