Least Common Multiple of 35197 and 35203

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

• Least Common Multiple of 35197 and 35203 by Prime method
• Least Common Multiple of 35197 and 35203 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35197 and 35203. First we will calculate the prime factors of 35197 and 35203.

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 35203

Prime factors of 35203 are 7, 47,107. Prime factorization of 35203 in exponential form is:

35203 = 7¹×47¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35197 and 35203.

LCM(35197,35203) = 7¹×47¹×61¹×107¹×577¹
LCM(35197,35203) = 1239039991

Factors of 35197

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

1, 61, 577, 35197

Factors of 35203

List of positive integer factors of 35203 that divides 35203 without a remainder.

1, 7, 47, 107, 329, 749, 5029, 35203

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35197 and 35203, than apply into the LCM equation.

GCF(35197,35203) = 1
LCM(35197,35203) = ( 35197 × 35203) / 1
LCM(35197,35203) = 1239039991 / 1
LCM(35197,35203) = 1239039991

(i) The LCM of 35203 and 35197 is associative

LCM of 35197 and 35203 = LCM of 35203 and 35197

1. What is the LCM of 35197 and 35203?

Answer: LCM of 35197 and 35203 is 1239039991.

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 35203?

Answer: Factors of 35203 are 1, 7, 47, 107, 329, 749, 5029, 35203. There are 8 integers that are factors of 35203. The greatest factor of 35203 is 35203.

4. How to Find the LCM of 35197 and 35203?

Answer:

Least Common Multiple of 35197 and 35203 = 1239039991

Step 1: Find the prime factorization of 35197

35197 = 61 x 577

Step 2: Find the prime factorization of 35203

35203 = 7 x 47 x 107

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

LCM = 1239039991 = 7 x 47 x 61 x 107 x 577

Step 4: Therefore, the least common multiple of 35197 and 35203 is 1239039991.