Least Common Multiple of 4242 and 4247

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

• Least Common Multiple of 4242 and 4247 by Prime method
• Least Common Multiple of 4242 and 4247 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4242 and 4247. First we will calculate the prime factors of 4242 and 4247.

Prime Factorization of 4242

Prime factors of 4242 are 2, 3, 7,101. Prime factorization of 4242 in exponential form is:

4242 = 2¹×3¹×7¹×101¹

Prime Factorization of 4247

Prime factors of 4247 are 31,137. Prime factorization of 4247 in exponential form is:

4247 = 31¹×137¹

Now multiplying the highest exponent prime factors to calculate the LCM of 4242 and 4247.

LCM(4242,4247) = 2¹×3¹×7¹×31¹×101¹×137¹
LCM(4242,4247) = 18015774

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242

Factors of 4247

List of positive integer factors of 4247 that divides 4247 without a remainder.

1, 31, 137, 4247

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4242 and 4247, than apply into the LCM equation.

GCF(4242,4247) = 1
LCM(4242,4247) = ( 4242 × 4247) / 1
LCM(4242,4247) = 18015774 / 1
LCM(4242,4247) = 18015774

(i) The LCM of 4247 and 4242 is associative

LCM of 4242 and 4247 = LCM of 4247 and 4242

1. What is the LCM of 4242 and 4247?

Answer: LCM of 4242 and 4247 is 18015774.

2. What are the Factors of 4242?

Answer: Factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. There are 16 integers that are factors of 4242. The greatest factor of 4242 is 4242.

3. What are the Factors of 4247?

Answer: Factors of 4247 are 1, 31, 137, 4247. There are 4 integers that are factors of 4247. The greatest factor of 4247 is 4247.

4. How to Find the LCM of 4242 and 4247?

Answer:

Least Common Multiple of 4242 and 4247 = 18015774

Step 1: Find the prime factorization of 4242

4242 = 2 x 3 x 7 x 101

Step 2: Find the prime factorization of 4247

4247 = 31 x 137

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

LCM = 18015774 = 2 x 3 x 7 x 31 x 101 x 137

Step 4: Therefore, the least common multiple of 4242 and 4247 is 18015774.