Least Common Multiple of 35175 and 35179

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

• Least Common Multiple of 35175 and 35179 by Prime method
• Least Common Multiple of 35175 and 35179 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35175 and 35179. First we will calculate the prime factors of 35175 and 35179.

Prime Factorization of 35175

Prime factors of 35175 are 3, 5, 7,67. Prime factorization of 35175 in exponential form is:

35175 = 3¹×5²×7¹×67¹

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 35175 and 35179.

LCM(35175,35179) = 3¹×5²×7¹×67¹×127¹×277¹
LCM(35175,35179) = 1237421325

Factors of 35175

List of positive integer factors of 35175 that divides 35175 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 67, 75, 105, 175, 201, 335, 469, 525, 1005, 1407, 1675, 2345, 5025, 7035, 11725, 35175

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 35175 and 35179, than apply into the LCM equation.

GCF(35175,35179) = 1
LCM(35175,35179) = ( 35175 × 35179) / 1
LCM(35175,35179) = 1237421325 / 1
LCM(35175,35179) = 1237421325

(i) The LCM of 35179 and 35175 is associative

LCM of 35175 and 35179 = LCM of 35179 and 35175

1. What is the LCM of 35175 and 35179?

Answer: LCM of 35175 and 35179 is 1237421325.

2. What are the Factors of 35175?

Answer: Factors of 35175 are 1, 3, 5, 7, 15, 21, 25, 35, 67, 75, 105, 175, 201, 335, 469, 525, 1005, 1407, 1675, 2345, 5025, 7035, 11725, 35175. There are 24 integers that are factors of 35175. The greatest factor of 35175 is 35175.

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 35175 and 35179?

Answer:

Least Common Multiple of 35175 and 35179 = 1237421325

Step 1: Find the prime factorization of 35175

35175 = 3 x 5 x 5 x 7 x 67

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 = 1237421325 = 3 x 5 x 5 x 7 x 67 x 127 x 277

Step 4: Therefore, the least common multiple of 35175 and 35179 is 1237421325.