Least Common Multiple of 4244 and 4250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4244 and 4250 the smallest integer that is 9018500 that is divisible by both numbers.

Least Common Multiple (LCM) of 4244 and 4250 is 9018500.

LCM(4244,4250) = 9018500

LCM of 4244 and 4250

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

LCM of:
and

Least Common Multiple of 4244 and 4250

LCM of 4244 and 4250 is 9018500

Least common multiple can be found by multiplying the highest exponent prime factors of 4244 and 4250. First we will calculate the prime factors of 4244 and 4250.

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

Prime Factorization of 4250


2 4250
5 2125
5 425
5 85
17 17
1

Prime factors of 4250 are 2, 5,17. Prime factorization of 4250 in exponential form is:

4250 = 21×53×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4244 and 4250.

LCM(4244,4250) = 22×53×171×10611
LCM(4244,4250) = 9018500

Factors of 4244

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

1, 2, 4, 1061, 2122, 4244

Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250

Least Common Multiple of 4244 and 4250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4244 and 4250, than apply into the LCM equation.

GCF(4244,4250) = 2
LCM(4244,4250) = ( 4244 × 4250) / 2
LCM(4244,4250) = 18037000 / 2
LCM(4244,4250) = 9018500

Properties of LCM 4244 and 4250

(i) The LCM of 4250 and 4244 is associative

LCM of 4244 and 4250 = LCM of 4250 and 4244

Related Least Common Multiples of 4244

Related Least Common Multiples of 4250

Frequently Asked Questions on LCM of 4244 and 4250

1. What is the LCM of 4244 and 4250?

Answer: LCM of 4244 and 4250 is 9018500.

2. 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.

3. What are the Factors of 4250?

Answer: Factors of 4250 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250. There are 16 integers that are factors of 4250. The greatest factor of 4250 is 4250.

4. How to Find the LCM of 4244 and 4250?

Answer:

Least Common Multiple of 4244 and 4250 = 9018500

Step 1: Find the prime factorization of 4244

4244 = 2 x 2 x 1061

Step 2: Find the prime factorization of 4250

4250 = 2 x 5 x 5 x 5 x 17

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

LCM = 9018500 = 2 x 2 x 5 x 5 x 5 x 17 x 1061

Step 4: Therefore, the least common multiple of 4244 and 4250 is 9018500.