Least Common Multiple of 82347 and 82355

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

• Least Common Multiple of 82347 and 82355 by Prime method
• Least Common Multiple of 82347 and 82355 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 82347 and 82355. First we will calculate the prime factors of 82347 and 82355.

Prime Factorization of 82347

Prime factors of 82347 are 3,27449. Prime factorization of 82347 in exponential form is:

82347 = 3¹×27449¹

Prime Factorization of 82355

Prime factors of 82355 are 5, 7, 13,181. Prime factorization of 82355 in exponential form is:

82355 = 5¹×7¹×13¹×181¹

Now multiplying the highest exponent prime factors to calculate the LCM of 82347 and 82355.

LCM(82347,82355) = 3¹×5¹×7¹×13¹×181¹×27449¹
LCM(82347,82355) = 6781687185

Factors of 82347

List of positive integer factors of 82347 that divides 82347 without a remainder.

1, 3, 27449, 82347

Factors of 82355

List of positive integer factors of 82355 that divides 82355 without a remainder.

1, 5, 7, 13, 35, 65, 91, 181, 455, 905, 1267, 2353, 6335, 11765, 16471, 82355

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82347 and 82355, than apply into the LCM equation.

GCF(82347,82355) = 1
LCM(82347,82355) = ( 82347 × 82355) / 1
LCM(82347,82355) = 6781687185 / 1
LCM(82347,82355) = 6781687185

(i) The LCM of 82355 and 82347 is associative

LCM of 82347 and 82355 = LCM of 82355 and 82347

1. What is the LCM of 82347 and 82355?

Answer: LCM of 82347 and 82355 is 6781687185.

2. What are the Factors of 82347?

Answer: Factors of 82347 are 1, 3, 27449, 82347. There are 4 integers that are factors of 82347. The greatest factor of 82347 is 82347.

3. What are the Factors of 82355?

Answer: Factors of 82355 are 1, 5, 7, 13, 35, 65, 91, 181, 455, 905, 1267, 2353, 6335, 11765, 16471, 82355. There are 16 integers that are factors of 82355. The greatest factor of 82355 is 82355.

4. How to Find the LCM of 82347 and 82355?

Answer:

Least Common Multiple of 82347 and 82355 = 6781687185

Step 1: Find the prime factorization of 82347

82347 = 3 x 27449

Step 2: Find the prime factorization of 82355

82355 = 5 x 7 x 13 x 181

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

LCM = 6781687185 = 3 x 5 x 7 x 13 x 181 x 27449

Step 4: Therefore, the least common multiple of 82347 and 82355 is 6781687185.