Least Common Multiple of 35165 and 35167

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

• Least Common Multiple of 35165 and 35167 by Prime method
• Least Common Multiple of 35165 and 35167 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35165 and 35167. First we will calculate the prime factors of 35165 and 35167.

Prime Factorization of 35165

Prime factors of 35165 are 5, 13,541. Prime factorization of 35165 in exponential form is:

35165 = 5¹×13¹×541¹

Prime Factorization of 35167

Prime factors of 35167 are 11, 23,139. Prime factorization of 35167 in exponential form is:

35167 = 11¹×23¹×139¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35165 and 35167.

LCM(35165,35167) = 5¹×11¹×13¹×23¹×139¹×541¹
LCM(35165,35167) = 1236647555

Factors of 35165

List of positive integer factors of 35165 that divides 35165 without a remainder.

1, 5, 13, 65, 541, 2705, 7033, 35165

Factors of 35167

List of positive integer factors of 35167 that divides 35167 without a remainder.

1, 11, 23, 139, 253, 1529, 3197, 35167

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35165 and 35167, than apply into the LCM equation.

GCF(35165,35167) = 1
LCM(35165,35167) = ( 35165 × 35167) / 1
LCM(35165,35167) = 1236647555 / 1
LCM(35165,35167) = 1236647555

(i) The LCM of 35167 and 35165 is associative

LCM of 35165 and 35167 = LCM of 35167 and 35165

1. What is the LCM of 35165 and 35167?

Answer: LCM of 35165 and 35167 is 1236647555.

2. What are the Factors of 35165?

Answer: Factors of 35165 are 1, 5, 13, 65, 541, 2705, 7033, 35165. There are 8 integers that are factors of 35165. The greatest factor of 35165 is 35165.

3. What are the Factors of 35167?

Answer: Factors of 35167 are 1, 11, 23, 139, 253, 1529, 3197, 35167. There are 8 integers that are factors of 35167. The greatest factor of 35167 is 35167.

4. How to Find the LCM of 35165 and 35167?

Answer:

Least Common Multiple of 35165 and 35167 = 1236647555

Step 1: Find the prime factorization of 35165

35165 = 5 x 13 x 541

Step 2: Find the prime factorization of 35167

35167 = 11 x 23 x 139

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

LCM = 1236647555 = 5 x 11 x 13 x 23 x 139 x 541

Step 4: Therefore, the least common multiple of 35165 and 35167 is 1236647555.