Least Common Multiple of 8147 and 8148

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

• Least Common Multiple of 8147 and 8148 by Prime method
• Least Common Multiple of 8147 and 8148 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 8147 and 8148. First we will calculate the prime factors of 8147 and 8148.

Prime Factorization of 8147

Prime factors of 8147 are 8147. Prime factorization of 8147 in exponential form is:

8147 = 8147¹

Prime Factorization of 8148

Prime factors of 8148 are 2, 3, 7,97. Prime factorization of 8148 in exponential form is:

8148 = 2²×3¹×7¹×97¹

Now multiplying the highest exponent prime factors to calculate the LCM of 8147 and 8148.

LCM(8147,8148) = 2²×3¹×7¹×97¹×8147¹
LCM(8147,8148) = 66381756

Factors of 8147

List of positive integer factors of 8147 that divides 8147 without a remainder.

1, 8147

Factors of 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8147 and 8148, than apply into the LCM equation.

GCF(8147,8148) = 1
LCM(8147,8148) = ( 8147 × 8148) / 1
LCM(8147,8148) = 66381756 / 1
LCM(8147,8148) = 66381756

(i) The LCM of 8148 and 8147 is associative

LCM of 8147 and 8148 = LCM of 8148 and 8147

1. What is the LCM of 8147 and 8148?

Answer: LCM of 8147 and 8148 is 66381756.

2. What are the Factors of 8147?

Answer: Factors of 8147 are 1, 8147. There are 2 integers that are factors of 8147. The greatest factor of 8147 is 8147.

3. What are the Factors of 8148?

Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.

4. How to Find the LCM of 8147 and 8148?

Answer:

Least Common Multiple of 8147 and 8148 = 66381756

Step 1: Find the prime factorization of 8147

8147 = 8147

Step 2: Find the prime factorization of 8148

8148 = 2 x 2 x 3 x 7 x 97

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

LCM = 66381756 = 2 x 2 x 3 x 7 x 97 x 8147

Step 4: Therefore, the least common multiple of 8147 and 8148 is 66381756.