Least Common Multiple of 67027 and 67035

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

• Least Common Multiple of 67027 and 67035 by Prime method
• Least Common Multiple of 67027 and 67035 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67027 and 67035. First we will calculate the prime factors of 67027 and 67035.

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 67035

Prime factors of 67035 are 3, 5, 41,109. Prime factorization of 67035 in exponential form is:

67035 = 3¹×5¹×41¹×109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67027 and 67035.

LCM(67027,67035) = 3¹×5¹×41¹×97¹×109¹×691¹
LCM(67027,67035) = 4493154945

Factors of 67027

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

1, 97, 691, 67027

Factors of 67035

List of positive integer factors of 67035 that divides 67035 without a remainder.

1, 3, 5, 15, 41, 109, 123, 205, 327, 545, 615, 1635, 4469, 13407, 22345, 67035

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67027 and 67035, than apply into the LCM equation.

GCF(67027,67035) = 1
LCM(67027,67035) = ( 67027 × 67035) / 1
LCM(67027,67035) = 4493154945 / 1
LCM(67027,67035) = 4493154945

(i) The LCM of 67035 and 67027 is associative

LCM of 67027 and 67035 = LCM of 67035 and 67027

1. What is the LCM of 67027 and 67035?

Answer: LCM of 67027 and 67035 is 4493154945.

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 67035?

Answer: Factors of 67035 are 1, 3, 5, 15, 41, 109, 123, 205, 327, 545, 615, 1635, 4469, 13407, 22345, 67035. There are 16 integers that are factors of 67035. The greatest factor of 67035 is 67035.

4. How to Find the LCM of 67027 and 67035?

Answer:

Least Common Multiple of 67027 and 67035 = 4493154945

Step 1: Find the prime factorization of 67027

67027 = 97 x 691

Step 2: Find the prime factorization of 67035

67035 = 3 x 5 x 41 x 109

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

LCM = 4493154945 = 3 x 5 x 41 x 97 x 109 x 691

Step 4: Therefore, the least common multiple of 67027 and 67035 is 4493154945.