Least Common Multiple of 35158 and 35165

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

• Least Common Multiple of 35158 and 35165 by Prime method
• Least Common Multiple of 35158 and 35165 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35158 and 35165. First we will calculate the prime factors of 35158 and 35165.

Prime Factorization of 35158

Prime factors of 35158 are 2,17579. Prime factorization of 35158 in exponential form is:

35158 = 2¹×17579¹

Prime Factorization of 35165

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

35165 = 5¹×13¹×541¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35158 and 35165.

LCM(35158,35165) = 2¹×5¹×13¹×541¹×17579¹
LCM(35158,35165) = 1236331070

Factors of 35158

List of positive integer factors of 35158 that divides 35158 without a remainder.

1, 2, 17579, 35158

Factors of 35165

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35158 and 35165, than apply into the LCM equation.

GCF(35158,35165) = 1
LCM(35158,35165) = ( 35158 × 35165) / 1
LCM(35158,35165) = 1236331070 / 1
LCM(35158,35165) = 1236331070

(i) The LCM of 35165 and 35158 is associative

LCM of 35158 and 35165 = LCM of 35165 and 35158

1. What is the LCM of 35158 and 35165?

Answer: LCM of 35158 and 35165 is 1236331070.

2. What are the Factors of 35158?

Answer: Factors of 35158 are 1, 2, 17579, 35158. There are 4 integers that are factors of 35158. The greatest factor of 35158 is 35158.

3. 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.

4. How to Find the LCM of 35158 and 35165?

Answer:

Least Common Multiple of 35158 and 35165 = 1236331070

Step 1: Find the prime factorization of 35158

35158 = 2 x 17579

Step 2: Find the prime factorization of 35165

35165 = 5 x 13 x 541

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

LCM = 1236331070 = 2 x 5 x 13 x 541 x 17579

Step 4: Therefore, the least common multiple of 35158 and 35165 is 1236331070.