Least Common Multiple of 67004 and 67011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67004 and 67011 the smallest integer that is 641429292 that is divisible by both numbers.

Least Common Multiple (LCM) of 67004 and 67011 is 641429292.

LCM(67004,67011) = 641429292

LCM of 67004 and 67011

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

LCM of:
and

Least Common Multiple of 67004 and 67011

LCM of 67004 and 67011 is 641429292

Least common multiple can be found by multiplying the highest exponent prime factors of 67004 and 67011. First we will calculate the prime factors of 67004 and 67011.

Prime Factorization of 67004


2 67004
2 33502
7 16751
2393 2393
1

Prime factors of 67004 are 2, 7,2393. Prime factorization of 67004 in exponential form is:

67004 = 22×71×23931

Prime Factorization of 67011


3 67011
7 22337
3191 3191
1

Prime factors of 67011 are 3, 7,3191. Prime factorization of 67011 in exponential form is:

67011 = 31×71×31911

Now multiplying the highest exponent prime factors to calculate the LCM of 67004 and 67011.

LCM(67004,67011) = 22×31×71×23931×31911
LCM(67004,67011) = 641429292

Factors of 67004

List of positive integer factors of 67004 that divides 67004 without a remainder.

1, 2, 4, 7, 14, 28, 2393, 4786, 9572, 16751, 33502, 67004

Factors of 67011

List of positive integer factors of 67011 that divides 67011 without a remainder.

1, 3, 7, 21, 3191, 9573, 22337, 67011

Least Common Multiple of 67004 and 67011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67004 and 67011, than apply into the LCM equation.

GCF(67004,67011) = 7
LCM(67004,67011) = ( 67004 × 67011) / 7
LCM(67004,67011) = 4490005044 / 7
LCM(67004,67011) = 641429292

Properties of LCM 67004 and 67011

(i) The LCM of 67011 and 67004 is associative

LCM of 67004 and 67011 = LCM of 67011 and 67004

Related Least Common Multiples of 67004

Related Least Common Multiples of 67011

Frequently Asked Questions on LCM of 67004 and 67011

1. What is the LCM of 67004 and 67011?

Answer: LCM of 67004 and 67011 is 641429292.

2. What are the Factors of 67004?

Answer: Factors of 67004 are 1, 2, 4, 7, 14, 28, 2393, 4786, 9572, 16751, 33502, 67004. There are 12 integers that are factors of 67004. The greatest factor of 67004 is 67004.

3. What are the Factors of 67011?

Answer: Factors of 67011 are 1, 3, 7, 21, 3191, 9573, 22337, 67011. There are 8 integers that are factors of 67011. The greatest factor of 67011 is 67011.

4. How to Find the LCM of 67004 and 67011?

Answer:

Least Common Multiple of 67004 and 67011 = 641429292

Step 1: Find the prime factorization of 67004

67004 = 2 x 2 x 7 x 2393

Step 2: Find the prime factorization of 67011

67011 = 3 x 7 x 3191

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

LCM = 641429292 = 2 x 2 x 3 x 7 x 2393 x 3191

Step 4: Therefore, the least common multiple of 67004 and 67011 is 641429292.