Least Common Multiple of 6244 and 6250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6244 and 6250 the smallest integer that is 19512500 that is divisible by both numbers.

Least Common Multiple (LCM) of 6244 and 6250 is 19512500.

LCM(6244,6250) = 19512500

LCM of 6244 and 6250

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

LCM of:
and

Least Common Multiple of 6244 and 6250

LCM of 6244 and 6250 is 19512500

Least common multiple can be found by multiplying the highest exponent prime factors of 6244 and 6250. First we will calculate the prime factors of 6244 and 6250.

Prime Factorization of 6244


2 6244
2 3122
7 1561
223 223
1

Prime factors of 6244 are 2, 7,223. Prime factorization of 6244 in exponential form is:

6244 = 22×71×2231

Prime Factorization of 6250


2 6250
5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 6250 are 2,5. Prime factorization of 6250 in exponential form is:

6250 = 21×55

Now multiplying the highest exponent prime factors to calculate the LCM of 6244 and 6250.

LCM(6244,6250) = 22×55×71×2231
LCM(6244,6250) = 19512500

Factors of 6244

List of positive integer factors of 6244 that divides 6244 without a remainder.

1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244

Factors of 6250

List of positive integer factors of 6250 that divides 6250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250

Least Common Multiple of 6244 and 6250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6244 and 6250, than apply into the LCM equation.

GCF(6244,6250) = 2
LCM(6244,6250) = ( 6244 × 6250) / 2
LCM(6244,6250) = 39025000 / 2
LCM(6244,6250) = 19512500

Properties of LCM 6244 and 6250

(i) The LCM of 6250 and 6244 is associative

LCM of 6244 and 6250 = LCM of 6250 and 6244

Related Least Common Multiples of 6244

Related Least Common Multiples of 6250

Frequently Asked Questions on LCM of 6244 and 6250

1. What is the LCM of 6244 and 6250?

Answer: LCM of 6244 and 6250 is 19512500.

2. What are the Factors of 6244?

Answer: Factors of 6244 are 1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244. There are 12 integers that are factors of 6244. The greatest factor of 6244 is 6244.

3. What are the Factors of 6250?

Answer: Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250. There are 12 integers that are factors of 6250. The greatest factor of 6250 is 6250.

4. How to Find the LCM of 6244 and 6250?

Answer:

Least Common Multiple of 6244 and 6250 = 19512500

Step 1: Find the prime factorization of 6244

6244 = 2 x 2 x 7 x 223

Step 2: Find the prime factorization of 6250

6250 = 2 x 5 x 5 x 5 x 5 x 5

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

LCM = 19512500 = 2 x 2 x 5 x 5 x 5 x 5 x 5 x 7 x 223

Step 4: Therefore, the least common multiple of 6244 and 6250 is 19512500.