Least Common Multiple of 35187 and 35194

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

• Least Common Multiple of 35187 and 35194 by Prime method
• Least Common Multiple of 35187 and 35194 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35187 and 35194. First we will calculate the prime factors of 35187 and 35194.

Prime Factorization of 35187

Prime factors of 35187 are 3, 37,317. Prime factorization of 35187 in exponential form is:

35187 = 3¹×37¹×317¹

Prime Factorization of 35194

Prime factors of 35194 are 2,17597. Prime factorization of 35194 in exponential form is:

35194 = 2¹×17597¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35187 and 35194.

LCM(35187,35194) = 2¹×3¹×37¹×317¹×17597¹
LCM(35187,35194) = 1238371278

Factors of 35187

List of positive integer factors of 35187 that divides 35187 without a remainder.

1, 3, 37, 111, 317, 951, 11729, 35187

Factors of 35194

List of positive integer factors of 35194 that divides 35194 without a remainder.

1, 2, 17597, 35194

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35187 and 35194, than apply into the LCM equation.

GCF(35187,35194) = 1
LCM(35187,35194) = ( 35187 × 35194) / 1
LCM(35187,35194) = 1238371278 / 1
LCM(35187,35194) = 1238371278

(i) The LCM of 35194 and 35187 is associative

LCM of 35187 and 35194 = LCM of 35194 and 35187

1. What is the LCM of 35187 and 35194?

Answer: LCM of 35187 and 35194 is 1238371278.

2. What are the Factors of 35187?

Answer: Factors of 35187 are 1, 3, 37, 111, 317, 951, 11729, 35187. There are 8 integers that are factors of 35187. The greatest factor of 35187 is 35187.

3. What are the Factors of 35194?

Answer: Factors of 35194 are 1, 2, 17597, 35194. There are 4 integers that are factors of 35194. The greatest factor of 35194 is 35194.

4. How to Find the LCM of 35187 and 35194?

Answer:

Least Common Multiple of 35187 and 35194 = 1238371278

Step 1: Find the prime factorization of 35187

35187 = 3 x 37 x 317

Step 2: Find the prime factorization of 35194

35194 = 2 x 17597

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

LCM = 1238371278 = 2 x 3 x 37 x 317 x 17597

Step 4: Therefore, the least common multiple of 35187 and 35194 is 1238371278.