Least Common Multiple of 35197 and 35202

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

• Least Common Multiple of 35197 and 35202 by Prime method
• Least Common Multiple of 35197 and 35202 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35197 and 35202. First we will calculate the prime factors of 35197 and 35202.

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 35202

Prime factors of 35202 are 2, 3,5867. Prime factorization of 35202 in exponential form is:

35202 = 2¹×3¹×5867¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35197 and 35202.

LCM(35197,35202) = 2¹×3¹×61¹×577¹×5867¹
LCM(35197,35202) = 1239004794

Factors of 35197

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

1, 61, 577, 35197

Factors of 35202

List of positive integer factors of 35202 that divides 35202 without a remainder.

1, 2, 3, 6, 5867, 11734, 17601, 35202

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35197 and 35202, than apply into the LCM equation.

GCF(35197,35202) = 1
LCM(35197,35202) = ( 35197 × 35202) / 1
LCM(35197,35202) = 1239004794 / 1
LCM(35197,35202) = 1239004794

(i) The LCM of 35202 and 35197 is associative

LCM of 35197 and 35202 = LCM of 35202 and 35197

1. What is the LCM of 35197 and 35202?

Answer: LCM of 35197 and 35202 is 1239004794.

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 35202?

Answer: Factors of 35202 are 1, 2, 3, 6, 5867, 11734, 17601, 35202. There are 8 integers that are factors of 35202. The greatest factor of 35202 is 35202.

4. How to Find the LCM of 35197 and 35202?

Answer:

Least Common Multiple of 35197 and 35202 = 1239004794

Step 1: Find the prime factorization of 35197

35197 = 61 x 577

Step 2: Find the prime factorization of 35202

35202 = 2 x 3 x 5867

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

LCM = 1239004794 = 2 x 3 x 61 x 577 x 5867

Step 4: Therefore, the least common multiple of 35197 and 35202 is 1239004794.