Least Common Multiple of 35172 and 35177

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

• Least Common Multiple of 35172 and 35177 by Prime method
• Least Common Multiple of 35172 and 35177 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35172 and 35177. First we will calculate the prime factors of 35172 and 35177.

Prime Factorization of 35172

Prime factors of 35172 are 2, 3,977. Prime factorization of 35172 in exponential form is:

35172 = 2²×3²×977¹

Prime Factorization of 35177

Prime factors of 35177 are 29,1213. Prime factorization of 35177 in exponential form is:

35177 = 29¹×1213¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35172 and 35177.

LCM(35172,35177) = 2²×3²×29¹×977¹×1213¹
LCM(35172,35177) = 1237245444

Factors of 35172

List of positive integer factors of 35172 that divides 35172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172

Factors of 35177

List of positive integer factors of 35177 that divides 35177 without a remainder.

1, 29, 1213, 35177

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35172 and 35177, than apply into the LCM equation.

GCF(35172,35177) = 1
LCM(35172,35177) = ( 35172 × 35177) / 1
LCM(35172,35177) = 1237245444 / 1
LCM(35172,35177) = 1237245444

(i) The LCM of 35177 and 35172 is associative

LCM of 35172 and 35177 = LCM of 35177 and 35172

1. What is the LCM of 35172 and 35177?

Answer: LCM of 35172 and 35177 is 1237245444.

2. What are the Factors of 35172?

Answer: Factors of 35172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 977, 1954, 2931, 3908, 5862, 8793, 11724, 17586, 35172. There are 18 integers that are factors of 35172. The greatest factor of 35172 is 35172.

3. What are the Factors of 35177?

Answer: Factors of 35177 are 1, 29, 1213, 35177. There are 4 integers that are factors of 35177. The greatest factor of 35177 is 35177.

4. How to Find the LCM of 35172 and 35177?

Answer:

Least Common Multiple of 35172 and 35177 = 1237245444

Step 1: Find the prime factorization of 35172

35172 = 2 x 2 x 3 x 3 x 977

Step 2: Find the prime factorization of 35177

35177 = 29 x 1213

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

LCM = 1237245444 = 2 x 2 x 3 x 3 x 29 x 977 x 1213

Step 4: Therefore, the least common multiple of 35172 and 35177 is 1237245444.