Least Common Multiple of 34201 and 34202

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

• Least Common Multiple of 34201 and 34202 by Prime method
• Least Common Multiple of 34201 and 34202 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34201 and 34202. First we will calculate the prime factors of 34201 and 34202.

Prime Factorization of 34201

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

34201 = 23¹×1487¹

Prime Factorization of 34202

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

34202 = 2¹×7²×349¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34201 and 34202.

LCM(34201,34202) = 2¹×7²×23¹×349¹×1487¹
LCM(34201,34202) = 1169742602

Factors of 34201

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

1, 23, 1487, 34201

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34201 and 34202, than apply into the LCM equation.

GCF(34201,34202) = 1
LCM(34201,34202) = ( 34201 × 34202) / 1
LCM(34201,34202) = 1169742602 / 1
LCM(34201,34202) = 1169742602

(i) The LCM of 34202 and 34201 is associative

LCM of 34201 and 34202 = LCM of 34202 and 34201

1. What is the LCM of 34201 and 34202?

Answer: LCM of 34201 and 34202 is 1169742602.

2. 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.

3. 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.

4. How to Find the LCM of 34201 and 34202?

Answer:

Least Common Multiple of 34201 and 34202 = 1169742602

Step 1: Find the prime factorization of 34201

34201 = 23 x 1487

Step 2: Find the prime factorization of 34202

34202 = 2 x 7 x 7 x 349

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

LCM = 1169742602 = 2 x 7 x 7 x 23 x 349 x 1487

Step 4: Therefore, the least common multiple of 34201 and 34202 is 1169742602.