Least Common Multiple of 35177 and 35182

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

• Least Common Multiple of 35177 and 35182 by Prime method
• Least Common Multiple of 35177 and 35182 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35177 and 35182. First we will calculate the prime factors of 35177 and 35182.

Prime Factorization of 35177

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

35177 = 29¹×1213¹

Prime Factorization of 35182

Prime factors of 35182 are 2, 7,359. Prime factorization of 35182 in exponential form is:

35182 = 2¹×7²×359¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35177 and 35182.

LCM(35177,35182) = 2¹×7²×29¹×359¹×1213¹
LCM(35177,35182) = 1237597214

Factors of 35177

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

1, 29, 1213, 35177

Factors of 35182

List of positive integer factors of 35182 that divides 35182 without a remainder.

1, 2, 7, 14, 49, 98, 359, 718, 2513, 5026, 17591, 35182

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35177 and 35182, than apply into the LCM equation.

GCF(35177,35182) = 1
LCM(35177,35182) = ( 35177 × 35182) / 1
LCM(35177,35182) = 1237597214 / 1
LCM(35177,35182) = 1237597214

(i) The LCM of 35182 and 35177 is associative

LCM of 35177 and 35182 = LCM of 35182 and 35177

1. What is the LCM of 35177 and 35182?

Answer: LCM of 35177 and 35182 is 1237597214.

2. 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.

3. What are the Factors of 35182?

Answer: Factors of 35182 are 1, 2, 7, 14, 49, 98, 359, 718, 2513, 5026, 17591, 35182. There are 12 integers that are factors of 35182. The greatest factor of 35182 is 35182.

4. How to Find the LCM of 35177 and 35182?

Answer:

Least Common Multiple of 35177 and 35182 = 1237597214

Step 1: Find the prime factorization of 35177

35177 = 29 x 1213

Step 2: Find the prime factorization of 35182

35182 = 2 x 7 x 7 x 359

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

LCM = 1237597214 = 2 x 7 x 7 x 29 x 359 x 1213

Step 4: Therefore, the least common multiple of 35177 and 35182 is 1237597214.