Least Common Multiple of 67007 and 67011

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

• Least Common Multiple of 67007 and 67011 by Prime method
• Least Common Multiple of 67007 and 67011 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67007 and 67011. First we will calculate the prime factors of 67007 and 67011.

Prime Factorization of 67007

Prime factors of 67007 are 37,1811. Prime factorization of 67007 in exponential form is:

67007 = 37¹×1811¹

Prime Factorization of 67011

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 67007 and 67011.

LCM(67007,67011) = 3¹×7¹×37¹×1811¹×3191¹
LCM(67007,67011) = 4490206077

Factors of 67007

List of positive integer factors of 67007 that divides 67007 without a remainder.

1, 37, 1811, 67007

Factors of 67011

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67007 and 67011, than apply into the LCM equation.

GCF(67007,67011) = 1
LCM(67007,67011) = ( 67007 × 67011) / 1
LCM(67007,67011) = 4490206077 / 1
LCM(67007,67011) = 4490206077

(i) The LCM of 67011 and 67007 is associative

LCM of 67007 and 67011 = LCM of 67011 and 67007

1. What is the LCM of 67007 and 67011?

Answer: LCM of 67007 and 67011 is 4490206077.

2. What are the Factors of 67007?

Answer: Factors of 67007 are 1, 37, 1811, 67007. There are 4 integers that are factors of 67007. The greatest factor of 67007 is 67007.

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 67007 and 67011?

Answer:

Least Common Multiple of 67007 and 67011 = 4490206077

Step 1: Find the prime factorization of 67007

67007 = 37 x 1811

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 = 4490206077 = 3 x 7 x 37 x 1811 x 3191

Step 4: Therefore, the least common multiple of 67007 and 67011 is 4490206077.