Least Common Multiple of 35197 and 35204

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

• Least Common Multiple of 35197 and 35204 by Prime method
• Least Common Multiple of 35197 and 35204 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35197 and 35204. First we will calculate the prime factors of 35197 and 35204.

Prime Factorization of 35197

Prime factors of 35197 are 61,577. Prime factorization of 35197 in exponential form is:

35197 = 61¹×577¹

Prime Factorization of 35204

Prime factors of 35204 are 2, 13,677. Prime factorization of 35204 in exponential form is:

35204 = 2²×13¹×677¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35197 and 35204.

LCM(35197,35204) = 2²×13¹×61¹×577¹×677¹
LCM(35197,35204) = 1239075188

Factors of 35197

List of positive integer factors of 35197 that divides 35197 without a remainder.

1, 61, 577, 35197

Factors of 35204

List of positive integer factors of 35204 that divides 35204 without a remainder.

1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602, 35204

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35197 and 35204, than apply into the LCM equation.

GCF(35197,35204) = 1
LCM(35197,35204) = ( 35197 × 35204) / 1
LCM(35197,35204) = 1239075188 / 1
LCM(35197,35204) = 1239075188

(i) The LCM of 35204 and 35197 is associative

LCM of 35197 and 35204 = LCM of 35204 and 35197

1. What is the LCM of 35197 and 35204?

Answer: LCM of 35197 and 35204 is 1239075188.

2. What are the Factors of 35197?

Answer: Factors of 35197 are 1, 61, 577, 35197. There are 4 integers that are factors of 35197. The greatest factor of 35197 is 35197.

3. What are the Factors of 35204?

Answer: Factors of 35204 are 1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602, 35204. There are 12 integers that are factors of 35204. The greatest factor of 35204 is 35204.

4. How to Find the LCM of 35197 and 35204?

Answer:

Least Common Multiple of 35197 and 35204 = 1239075188

Step 1: Find the prime factorization of 35197

35197 = 61 x 577

Step 2: Find the prime factorization of 35204

35204 = 2 x 2 x 13 x 677

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

LCM = 1239075188 = 2 x 2 x 13 x 61 x 577 x 677

Step 4: Therefore, the least common multiple of 35197 and 35204 is 1239075188.