Least Common Multiple of 35174 and 35179

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

• Least Common Multiple of 35174 and 35179 by Prime method
• Least Common Multiple of 35174 and 35179 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35174 and 35179. First we will calculate the prime factors of 35174 and 35179.

Prime Factorization of 35174

Prime factors of 35174 are 2, 43,409. Prime factorization of 35174 in exponential form is:

35174 = 2¹×43¹×409¹

Prime Factorization of 35179

Prime factors of 35179 are 127,277. Prime factorization of 35179 in exponential form is:

35179 = 127¹×277¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35174 and 35179.

LCM(35174,35179) = 2¹×43¹×127¹×277¹×409¹
LCM(35174,35179) = 1237386146

Factors of 35174

List of positive integer factors of 35174 that divides 35174 without a remainder.

1, 2, 43, 86, 409, 818, 17587, 35174

Factors of 35179

List of positive integer factors of 35179 that divides 35179 without a remainder.

1, 127, 277, 35179

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35174 and 35179, than apply into the LCM equation.

GCF(35174,35179) = 1
LCM(35174,35179) = ( 35174 × 35179) / 1
LCM(35174,35179) = 1237386146 / 1
LCM(35174,35179) = 1237386146

(i) The LCM of 35179 and 35174 is associative

LCM of 35174 and 35179 = LCM of 35179 and 35174

1. What is the LCM of 35174 and 35179?

Answer: LCM of 35174 and 35179 is 1237386146.

2. What are the Factors of 35174?

Answer: Factors of 35174 are 1, 2, 43, 86, 409, 818, 17587, 35174. There are 8 integers that are factors of 35174. The greatest factor of 35174 is 35174.

3. What are the Factors of 35179?

Answer: Factors of 35179 are 1, 127, 277, 35179. There are 4 integers that are factors of 35179. The greatest factor of 35179 is 35179.

4. How to Find the LCM of 35174 and 35179?

Answer:

Least Common Multiple of 35174 and 35179 = 1237386146

Step 1: Find the prime factorization of 35174

35174 = 2 x 43 x 409

Step 2: Find the prime factorization of 35179

35179 = 127 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 = 1237386146 = 2 x 43 x 127 x 277 x 409

Step 4: Therefore, the least common multiple of 35174 and 35179 is 1237386146.