Least Common Multiple of 34203 and 34210

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

• Least Common Multiple of 34203 and 34210 by Prime method
• Least Common Multiple of 34203 and 34210 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34203 and 34210. First we will calculate the prime factors of 34203 and 34210.

Prime Factorization of 34203

Prime factors of 34203 are 3, 13,877. Prime factorization of 34203 in exponential form is:

34203 = 3¹×13¹×877¹

Prime Factorization of 34210

Prime factors of 34210 are 2, 5, 11,311. Prime factorization of 34210 in exponential form is:

34210 = 2¹×5¹×11¹×311¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34203 and 34210.

LCM(34203,34210) = 2¹×3¹×5¹×11¹×13¹×311¹×877¹
LCM(34203,34210) = 1170084630

Factors of 34203

List of positive integer factors of 34203 that divides 34203 without a remainder.

1, 3, 13, 39, 877, 2631, 11401, 34203

Factors of 34210

List of positive integer factors of 34210 that divides 34210 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34203 and 34210, than apply into the LCM equation.

GCF(34203,34210) = 1
LCM(34203,34210) = ( 34203 × 34210) / 1
LCM(34203,34210) = 1170084630 / 1
LCM(34203,34210) = 1170084630

(i) The LCM of 34210 and 34203 is associative

LCM of 34203 and 34210 = LCM of 34210 and 34203

1. What is the LCM of 34203 and 34210?

Answer: LCM of 34203 and 34210 is 1170084630.

2. What are the Factors of 34203?

Answer: Factors of 34203 are 1, 3, 13, 39, 877, 2631, 11401, 34203. There are 8 integers that are factors of 34203. The greatest factor of 34203 is 34203.

3. What are the Factors of 34210?

Answer: Factors of 34210 are 1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210. There are 16 integers that are factors of 34210. The greatest factor of 34210 is 34210.

4. How to Find the LCM of 34203 and 34210?

Answer:

Least Common Multiple of 34203 and 34210 = 1170084630

Step 1: Find the prime factorization of 34203

34203 = 3 x 13 x 877

Step 2: Find the prime factorization of 34210

34210 = 2 x 5 x 11 x 311

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

LCM = 1170084630 = 2 x 3 x 5 x 11 x 13 x 311 x 877

Step 4: Therefore, the least common multiple of 34203 and 34210 is 1170084630.