Least Common Multiple of 5244 and 5250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5244 and 5250 the smallest integer that is 4588500 that is divisible by both numbers.

Least Common Multiple (LCM) of 5244 and 5250 is 4588500.

LCM(5244,5250) = 4588500

LCM of 5244 and 5250

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

LCM of:
and

Least Common Multiple of 5244 and 5250

LCM of 5244 and 5250 is 4588500

Least common multiple can be found by multiplying the highest exponent prime factors of 5244 and 5250. First we will calculate the prime factors of 5244 and 5250.

Prime Factorization of 5244


2 5244
2 2622
3 1311
19 437
23 23
1

Prime factors of 5244 are 2, 3, 19,23. Prime factorization of 5244 in exponential form is:

5244 = 22×31×191×231

Prime Factorization of 5250


2 5250
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 5250 are 2, 3, 5,7. Prime factorization of 5250 in exponential form is:

5250 = 21×31×53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 5244 and 5250.

LCM(5244,5250) = 22×31×53×71×191×231
LCM(5244,5250) = 4588500

Factors of 5244

List of positive integer factors of 5244 that divides 5244 without a remainder.

1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244

Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250

Least Common Multiple of 5244 and 5250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5244 and 5250, than apply into the LCM equation.

GCF(5244,5250) = 6
LCM(5244,5250) = ( 5244 × 5250) / 6
LCM(5244,5250) = 27531000 / 6
LCM(5244,5250) = 4588500

Properties of LCM 5244 and 5250

(i) The LCM of 5250 and 5244 is associative

LCM of 5244 and 5250 = LCM of 5250 and 5244

Related Least Common Multiples of 5244

Related Least Common Multiples of 5250

Frequently Asked Questions on LCM of 5244 and 5250

1. What is the LCM of 5244 and 5250?

Answer: LCM of 5244 and 5250 is 4588500.

2. What are the Factors of 5244?

Answer: Factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244. There are 24 integers that are factors of 5244. The greatest factor of 5244 is 5244.

3. What are the Factors of 5250?

Answer: Factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250. There are 32 integers that are factors of 5250. The greatest factor of 5250 is 5250.

4. How to Find the LCM of 5244 and 5250?

Answer:

Least Common Multiple of 5244 and 5250 = 4588500

Step 1: Find the prime factorization of 5244

5244 = 2 x 2 x 3 x 19 x 23

Step 2: Find the prime factorization of 5250

5250 = 2 x 3 x 5 x 5 x 5 x 7

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

LCM = 4588500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 19 x 23

Step 4: Therefore, the least common multiple of 5244 and 5250 is 4588500.