Least Common Multiple of 34202 and 34207

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

• Least Common Multiple of 34202 and 34207 by Prime method
• Least Common Multiple of 34202 and 34207 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34202 and 34207. First we will calculate the prime factors of 34202 and 34207.

Prime Factorization of 34202

Prime factors of 34202 are 2, 7,349. Prime factorization of 34202 in exponential form is:

34202 = 2¹×7²×349¹

Prime Factorization of 34207

Prime factors of 34207 are 79,433. Prime factorization of 34207 in exponential form is:

34207 = 79¹×433¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34202 and 34207.

LCM(34202,34207) = 2¹×7²×79¹×349¹×433¹
LCM(34202,34207) = 1169947814

Factors of 34202

List of positive integer factors of 34202 that divides 34202 without a remainder.

1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202

Factors of 34207

List of positive integer factors of 34207 that divides 34207 without a remainder.

1, 79, 433, 34207

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34202 and 34207, than apply into the LCM equation.

GCF(34202,34207) = 1
LCM(34202,34207) = ( 34202 × 34207) / 1
LCM(34202,34207) = 1169947814 / 1
LCM(34202,34207) = 1169947814

(i) The LCM of 34207 and 34202 is associative

LCM of 34202 and 34207 = LCM of 34207 and 34202

1. What is the LCM of 34202 and 34207?

Answer: LCM of 34202 and 34207 is 1169947814.

2. What are the Factors of 34202?

Answer: Factors of 34202 are 1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202. There are 12 integers that are factors of 34202. The greatest factor of 34202 is 34202.

3. What are the Factors of 34207?

Answer: Factors of 34207 are 1, 79, 433, 34207. There are 4 integers that are factors of 34207. The greatest factor of 34207 is 34207.

4. How to Find the LCM of 34202 and 34207?

Answer:

Least Common Multiple of 34202 and 34207 = 1169947814

Step 1: Find the prime factorization of 34202

34202 = 2 x 7 x 7 x 349

Step 2: Find the prime factorization of 34207

34207 = 79 x 433

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

LCM = 1169947814 = 2 x 7 x 7 x 79 x 349 x 433

Step 4: Therefore, the least common multiple of 34202 and 34207 is 1169947814.