Least Common Multiple of 4237 and 4242

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

• Least Common Multiple of 4237 and 4242 by Prime method
• Least Common Multiple of 4237 and 4242 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4237 and 4242. First we will calculate the prime factors of 4237 and 4242.

Prime Factorization of 4237

Prime factors of 4237 are 19,223. Prime factorization of 4237 in exponential form is:

4237 = 19¹×223¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4237 and 4242.

LCM(4237,4242) = 2¹×3¹×7¹×19¹×101¹×223¹
LCM(4237,4242) = 17973354

Factors of 4237

List of positive integer factors of 4237 that divides 4237 without a remainder.

1, 19, 223, 4237

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4237 and 4242, than apply into the LCM equation.

GCF(4237,4242) = 1
LCM(4237,4242) = ( 4237 × 4242) / 1
LCM(4237,4242) = 17973354 / 1
LCM(4237,4242) = 17973354

(i) The LCM of 4242 and 4237 is associative

LCM of 4237 and 4242 = LCM of 4242 and 4237

1. What is the LCM of 4237 and 4242?

Answer: LCM of 4237 and 4242 is 17973354.

2. What are the Factors of 4237?

Answer: Factors of 4237 are 1, 19, 223, 4237. There are 4 integers that are factors of 4237. The greatest factor of 4237 is 4237.

3. 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.

4. How to Find the LCM of 4237 and 4242?

Answer:

Least Common Multiple of 4237 and 4242 = 17973354

Step 1: Find the prime factorization of 4237

4237 = 19 x 223

Step 2: Find the prime factorization of 4242

4242 = 2 x 3 x 7 x 101

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

LCM = 17973354 = 2 x 3 x 7 x 19 x 101 x 223

Step 4: Therefore, the least common multiple of 4237 and 4242 is 17973354.