Least Common Multiple of 4229 and 4237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4229 and 4237 the smallest integer that is 17918273 that is divisible by both numbers.

Least Common Multiple (LCM) of 4229 and 4237 is 17918273.

LCM(4229,4237) = 17918273

LCM of 4229 and 4237

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

LCM of:
and

Least Common Multiple of 4229 and 4237

LCM of 4229 and 4237 is 17918273

Least common multiple can be found by multiplying the highest exponent prime factors of 4229 and 4237. First we will calculate the prime factors of 4229 and 4237.

Prime Factorization of 4229


4229 4229
1

Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:

4229 = 42291

Prime Factorization of 4237


19 4237
223 223
1

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

4237 = 191×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4229 and 4237.

LCM(4229,4237) = 191×2231×42291
LCM(4229,4237) = 17918273

Factors of 4229

List of positive integer factors of 4229 that divides 4229 without a remainder.

1, 4229

Factors of 4237

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

1, 19, 223, 4237

Least Common Multiple of 4229 and 4237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4229 and 4237, than apply into the LCM equation.

GCF(4229,4237) = 1
LCM(4229,4237) = ( 4229 × 4237) / 1
LCM(4229,4237) = 17918273 / 1
LCM(4229,4237) = 17918273

Properties of LCM 4229 and 4237

(i) The LCM of 4237 and 4229 is associative

LCM of 4229 and 4237 = LCM of 4237 and 4229

Related Least Common Multiples of 4229

Related Least Common Multiples of 4237

Frequently Asked Questions on LCM of 4229 and 4237

1. What is the LCM of 4229 and 4237?

Answer: LCM of 4229 and 4237 is 17918273.

2. What are the Factors of 4229?

Answer: Factors of 4229 are 1, 4229. There are 2 integers that are factors of 4229. The greatest factor of 4229 is 4229.

3. 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.

4. How to Find the LCM of 4229 and 4237?

Answer:

Least Common Multiple of 4229 and 4237 = 17918273

Step 1: Find the prime factorization of 4229

4229 = 4229

Step 2: Find the prime factorization of 4237

4237 = 19 x 223

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

LCM = 17918273 = 19 x 223 x 4229

Step 4: Therefore, the least common multiple of 4229 and 4237 is 17918273.