Least Common Multiple of 67027 and 67034

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

• Least Common Multiple of 67027 and 67034 by Prime method
• Least Common Multiple of 67027 and 67034 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67027 and 67034. First we will calculate the prime factors of 67027 and 67034.

Prime Factorization of 67027

Prime factors of 67027 are 97,691. Prime factorization of 67027 in exponential form is:

67027 = 97¹×691¹

Prime Factorization of 67034

Prime factors of 67034 are 2, 11,277. Prime factorization of 67034 in exponential form is:

67034 = 2¹×11²×277¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67027 and 67034.

LCM(67027,67034) = 2¹×11²×97¹×277¹×691¹
LCM(67027,67034) = 4493087918

Factors of 67027

List of positive integer factors of 67027 that divides 67027 without a remainder.

1, 97, 691, 67027

Factors of 67034

List of positive integer factors of 67034 that divides 67034 without a remainder.

1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517, 67034

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67027 and 67034, than apply into the LCM equation.

GCF(67027,67034) = 1
LCM(67027,67034) = ( 67027 × 67034) / 1
LCM(67027,67034) = 4493087918 / 1
LCM(67027,67034) = 4493087918

(i) The LCM of 67034 and 67027 is associative

LCM of 67027 and 67034 = LCM of 67034 and 67027

1. What is the LCM of 67027 and 67034?

Answer: LCM of 67027 and 67034 is 4493087918.

2. What are the Factors of 67027?

Answer: Factors of 67027 are 1, 97, 691, 67027. There are 4 integers that are factors of 67027. The greatest factor of 67027 is 67027.

3. What are the Factors of 67034?

Answer: Factors of 67034 are 1, 2, 11, 22, 121, 242, 277, 554, 3047, 6094, 33517, 67034. There are 12 integers that are factors of 67034. The greatest factor of 67034 is 67034.

4. How to Find the LCM of 67027 and 67034?

Answer:

Least Common Multiple of 67027 and 67034 = 4493087918

Step 1: Find the prime factorization of 67027

67027 = 97 x 691

Step 2: Find the prime factorization of 67034

67034 = 2 x 11 x 11 x 277

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

LCM = 4493087918 = 2 x 11 x 11 x 97 x 277 x 691

Step 4: Therefore, the least common multiple of 67027 and 67034 is 4493087918.