Least Common Multiple of 66994 and 67002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66994 and 67002 the smallest integer that is 2244365994 that is divisible by both numbers.

Least Common Multiple (LCM) of 66994 and 67002 is 2244365994.

LCM(66994,67002) = 2244365994

LCM of 66994 and 67002

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

LCM of:
and

Least Common Multiple of 66994 and 67002

LCM of 66994 and 67002 is 2244365994

Least common multiple can be found by multiplying the highest exponent prime factors of 66994 and 67002. First we will calculate the prime factors of 66994 and 67002.

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

Prime Factorization of 67002


2 67002
3 33501
13 11167
859 859
1

Prime factors of 67002 are 2, 3, 13,859. Prime factorization of 67002 in exponential form is:

67002 = 21×31×131×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 66994 and 67002.

LCM(66994,67002) = 21×31×131×191×411×431×8591
LCM(66994,67002) = 2244365994

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

Factors of 67002

List of positive integer factors of 67002 that divides 67002 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501, 67002

Least Common Multiple of 66994 and 67002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66994 and 67002, than apply into the LCM equation.

GCF(66994,67002) = 2
LCM(66994,67002) = ( 66994 × 67002) / 2
LCM(66994,67002) = 4488731988 / 2
LCM(66994,67002) = 2244365994

Properties of LCM 66994 and 67002

(i) The LCM of 67002 and 66994 is associative

LCM of 66994 and 67002 = LCM of 67002 and 66994

Related Least Common Multiples of 66994

Related Least Common Multiples of 67002

Frequently Asked Questions on LCM of 66994 and 67002

1. What is the LCM of 66994 and 67002?

Answer: LCM of 66994 and 67002 is 2244365994.

2. 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.

3. What are the Factors of 67002?

Answer: Factors of 67002 are 1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501, 67002. There are 16 integers that are factors of 67002. The greatest factor of 67002 is 67002.

4. How to Find the LCM of 66994 and 67002?

Answer:

Least Common Multiple of 66994 and 67002 = 2244365994

Step 1: Find the prime factorization of 66994

66994 = 2 x 19 x 41 x 43

Step 2: Find the prime factorization of 67002

67002 = 2 x 3 x 13 x 859

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

LCM = 2244365994 = 2 x 3 x 13 x 19 x 41 x 43 x 859

Step 4: Therefore, the least common multiple of 66994 and 67002 is 2244365994.