Least Common Multiple of 35159 and 35164

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

• Least Common Multiple of 35159 and 35164 by Prime method
• Least Common Multiple of 35159 and 35164 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35159 and 35164. First we will calculate the prime factors of 35159 and 35164.

Prime Factorization of 35159

Prime factors of 35159 are 35159. Prime factorization of 35159 in exponential form is:

35159 = 35159¹

Prime Factorization of 35164

Prime factors of 35164 are 2, 59,149. Prime factorization of 35164 in exponential form is:

35164 = 2²×59¹×149¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35159 and 35164.

LCM(35159,35164) = 2²×59¹×149¹×35159¹
LCM(35159,35164) = 1236331076

Factors of 35159

List of positive integer factors of 35159 that divides 35159 without a remainder.

1, 35159

Factors of 35164

List of positive integer factors of 35164 that divides 35164 without a remainder.

1, 2, 4, 59, 118, 149, 236, 298, 596, 8791, 17582, 35164

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35159 and 35164, than apply into the LCM equation.

GCF(35159,35164) = 1
LCM(35159,35164) = ( 35159 × 35164) / 1
LCM(35159,35164) = 1236331076 / 1
LCM(35159,35164) = 1236331076

(i) The LCM of 35164 and 35159 is associative

LCM of 35159 and 35164 = LCM of 35164 and 35159

1. What is the LCM of 35159 and 35164?

Answer: LCM of 35159 and 35164 is 1236331076.

2. What are the Factors of 35159?

Answer: Factors of 35159 are 1, 35159. There are 2 integers that are factors of 35159. The greatest factor of 35159 is 35159.

3. What are the Factors of 35164?

Answer: Factors of 35164 are 1, 2, 4, 59, 118, 149, 236, 298, 596, 8791, 17582, 35164. There are 12 integers that are factors of 35164. The greatest factor of 35164 is 35164.

4. How to Find the LCM of 35159 and 35164?

Answer:

Least Common Multiple of 35159 and 35164 = 1236331076

Step 1: Find the prime factorization of 35159

35159 = 35159

Step 2: Find the prime factorization of 35164

35164 = 2 x 2 x 59 x 149

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

LCM = 1236331076 = 2 x 2 x 59 x 149 x 35159

Step 4: Therefore, the least common multiple of 35159 and 35164 is 1236331076.