Least Common Multiple of 34195 and 34203

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

• Least Common Multiple of 34195 and 34203 by Prime method
• Least Common Multiple of 34195 and 34203 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34195 and 34203. First we will calculate the prime factors of 34195 and 34203.

Prime Factorization of 34195

Prime factors of 34195 are 5, 7,977. Prime factorization of 34195 in exponential form is:

34195 = 5¹×7¹×977¹

Prime Factorization of 34203

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

34203 = 3¹×13¹×877¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34195 and 34203.

LCM(34195,34203) = 3¹×5¹×7¹×13¹×877¹×977¹
LCM(34195,34203) = 1169571585

Factors of 34195

List of positive integer factors of 34195 that divides 34195 without a remainder.

1, 5, 7, 35, 977, 4885, 6839, 34195

Factors of 34203

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34195 and 34203, than apply into the LCM equation.

GCF(34195,34203) = 1
LCM(34195,34203) = ( 34195 × 34203) / 1
LCM(34195,34203) = 1169571585 / 1
LCM(34195,34203) = 1169571585

(i) The LCM of 34203 and 34195 is associative

LCM of 34195 and 34203 = LCM of 34203 and 34195

1. What is the LCM of 34195 and 34203?

Answer: LCM of 34195 and 34203 is 1169571585.

2. What are the Factors of 34195?

Answer: Factors of 34195 are 1, 5, 7, 35, 977, 4885, 6839, 34195. There are 8 integers that are factors of 34195. The greatest factor of 34195 is 34195.

3. 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.

4. How to Find the LCM of 34195 and 34203?

Answer:

Least Common Multiple of 34195 and 34203 = 1169571585

Step 1: Find the prime factorization of 34195

34195 = 5 x 7 x 977

Step 2: Find the prime factorization of 34203

34203 = 3 x 13 x 877

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

LCM = 1169571585 = 3 x 5 x 7 x 13 x 877 x 977

Step 4: Therefore, the least common multiple of 34195 and 34203 is 1169571585.