Least Common Multiple of 34195 and 34201

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

• Least Common Multiple of 34195 and 34201 by Prime method
• Least Common Multiple of 34195 and 34201 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34195 and 34201. First we will calculate the prime factors of 34195 and 34201.

Prime Factorization of 34195

Prime factors of 34195 are 5, 7,977. Prime factorization of 34195 in exponential form is:

34195 = 5¹×7¹×977¹

Prime Factorization of 34201

Prime factors of 34201 are 23,1487. Prime factorization of 34201 in exponential form is:

34201 = 23¹×1487¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34195 and 34201.

LCM(34195,34201) = 5¹×7¹×23¹×977¹×1487¹
LCM(34195,34201) = 1169503195

Factors of 34195

List of positive integer factors of 34195 that divides 34195 without a remainder.

1, 5, 7, 35, 977, 4885, 6839, 34195

Factors of 34201

List of positive integer factors of 34201 that divides 34201 without a remainder.

1, 23, 1487, 34201

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34195 and 34201, than apply into the LCM equation.

GCF(34195,34201) = 1
LCM(34195,34201) = ( 34195 × 34201) / 1
LCM(34195,34201) = 1169503195 / 1
LCM(34195,34201) = 1169503195

(i) The LCM of 34201 and 34195 is associative

LCM of 34195 and 34201 = LCM of 34201 and 34195

1. What is the LCM of 34195 and 34201?

Answer: LCM of 34195 and 34201 is 1169503195.

2. What are the Factors of 34195?

Answer: Factors of 34195 are 1, 5, 7, 35, 977, 4885, 6839, 34195. There are 8 integers that are factors of 34195. The greatest factor of 34195 is 34195.

3. What are the Factors of 34201?

Answer: Factors of 34201 are 1, 23, 1487, 34201. There are 4 integers that are factors of 34201. The greatest factor of 34201 is 34201.

4. How to Find the LCM of 34195 and 34201?

Answer:

Least Common Multiple of 34195 and 34201 = 1169503195

Step 1: Find the prime factorization of 34195

34195 = 5 x 7 x 977

Step 2: Find the prime factorization of 34201

34201 = 23 x 1487

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

LCM = 1169503195 = 5 x 7 x 23 x 977 x 1487

Step 4: Therefore, the least common multiple of 34195 and 34201 is 1169503195.