Least Common Multiple of 35188 and 35193

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

• Least Common Multiple of 35188 and 35193 by Prime method
• Least Common Multiple of 35188 and 35193 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35188 and 35193. First we will calculate the prime factors of 35188 and 35193.

Prime Factorization of 35188

Prime factors of 35188 are 2, 19,463. Prime factorization of 35188 in exponential form is:

35188 = 2²×19¹×463¹

Prime Factorization of 35193

Prime factors of 35193 are 3,11731. Prime factorization of 35193 in exponential form is:

35193 = 3¹×11731¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35188 and 35193.

LCM(35188,35193) = 2²×3¹×19¹×463¹×11731¹
LCM(35188,35193) = 1238371284

Factors of 35188

List of positive integer factors of 35188 that divides 35188 without a remainder.

1, 2, 4, 19, 38, 76, 463, 926, 1852, 8797, 17594, 35188

Factors of 35193

List of positive integer factors of 35193 that divides 35193 without a remainder.

1, 3, 11731, 35193

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35188 and 35193, than apply into the LCM equation.

GCF(35188,35193) = 1
LCM(35188,35193) = ( 35188 × 35193) / 1
LCM(35188,35193) = 1238371284 / 1
LCM(35188,35193) = 1238371284

(i) The LCM of 35193 and 35188 is associative

LCM of 35188 and 35193 = LCM of 35193 and 35188

1. What is the LCM of 35188 and 35193?

Answer: LCM of 35188 and 35193 is 1238371284.

2. What are the Factors of 35188?

Answer: Factors of 35188 are 1, 2, 4, 19, 38, 76, 463, 926, 1852, 8797, 17594, 35188. There are 12 integers that are factors of 35188. The greatest factor of 35188 is 35188.

3. What are the Factors of 35193?

Answer: Factors of 35193 are 1, 3, 11731, 35193. There are 4 integers that are factors of 35193. The greatest factor of 35193 is 35193.

4. How to Find the LCM of 35188 and 35193?

Answer:

Least Common Multiple of 35188 and 35193 = 1238371284

Step 1: Find the prime factorization of 35188

35188 = 2 x 2 x 19 x 463

Step 2: Find the prime factorization of 35193

35193 = 3 x 11731

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

LCM = 1238371284 = 2 x 2 x 3 x 19 x 463 x 11731

Step 4: Therefore, the least common multiple of 35188 and 35193 is 1238371284.