Least Common Multiple of 4237 and 4244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4237 and 4244 the smallest integer that is 17981828 that is divisible by both numbers.

Least Common Multiple (LCM) of 4237 and 4244 is 17981828.

LCM(4237,4244) = 17981828

LCM of 4237 and 4244

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

LCM of:
and

Least Common Multiple of 4237 and 4244

LCM of 4237 and 4244 is 17981828

Least common multiple can be found by multiplying the highest exponent prime factors of 4237 and 4244. First we will calculate the prime factors of 4237 and 4244.

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

Prime Factorization of 4244


2 4244
2 2122
1061 1061
1

Prime factors of 4244 are 2,1061. Prime factorization of 4244 in exponential form is:

4244 = 22×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 4237 and 4244.

LCM(4237,4244) = 22×191×2231×10611
LCM(4237,4244) = 17981828

Factors of 4237

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

1, 19, 223, 4237

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1, 2, 4, 1061, 2122, 4244

Least Common Multiple of 4237 and 4244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4237 and 4244, than apply into the LCM equation.

GCF(4237,4244) = 1
LCM(4237,4244) = ( 4237 × 4244) / 1
LCM(4237,4244) = 17981828 / 1
LCM(4237,4244) = 17981828

Properties of LCM 4237 and 4244

(i) The LCM of 4244 and 4237 is associative

LCM of 4237 and 4244 = LCM of 4244 and 4237

Related Least Common Multiples of 4237

Related Least Common Multiples of 4244

Frequently Asked Questions on LCM of 4237 and 4244

1. What is the LCM of 4237 and 4244?

Answer: LCM of 4237 and 4244 is 17981828.

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 4244?

Answer: Factors of 4244 are 1, 2, 4, 1061, 2122, 4244. There are 6 integers that are factors of 4244. The greatest factor of 4244 is 4244.

4. How to Find the LCM of 4237 and 4244?

Answer:

Least Common Multiple of 4237 and 4244 = 17981828

Step 1: Find the prime factorization of 4237

4237 = 19 x 223

Step 2: Find the prime factorization of 4244

4244 = 2 x 2 x 1061

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

LCM = 17981828 = 2 x 2 x 19 x 223 x 1061

Step 4: Therefore, the least common multiple of 4237 and 4244 is 17981828.