Least Common Multiple of 5244 and 5252

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 5252 the smallest integer that is 6885372 that is divisible by both numbers.

Least Common Multiple (LCM) of 5244 and 5252 is 6885372.

LCM(5244,5252) = 6885372

LCM of 5244 and 5252

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

LCM of:
and

Least Common Multiple of 5244 and 5252

LCM of 5244 and 5252 is 6885372

Least common multiple can be found by multiplying the highest exponent prime factors of 5244 and 5252. First we will calculate the prime factors of 5244 and 5252.

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 5252


2 5252
2 2626
13 1313
101 101
1

Prime factors of 5252 are 2, 13,101. Prime factorization of 5252 in exponential form is:

5252 = 22×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5244 and 5252.

LCM(5244,5252) = 22×31×131×191×231×1011
LCM(5244,5252) = 6885372

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 5252

List of positive integer factors of 5252 that divides 5252 without a remainder.

1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252

Least Common Multiple of 5244 and 5252 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 5252, than apply into the LCM equation.

GCF(5244,5252) = 4
LCM(5244,5252) = ( 5244 × 5252) / 4
LCM(5244,5252) = 27541488 / 4
LCM(5244,5252) = 6885372

Properties of LCM 5244 and 5252

(i) The LCM of 5252 and 5244 is associative

LCM of 5244 and 5252 = LCM of 5252 and 5244

Related Least Common Multiples of 5244

Related Least Common Multiples of 5252

Frequently Asked Questions on LCM of 5244 and 5252

1. What is the LCM of 5244 and 5252?

Answer: LCM of 5244 and 5252 is 6885372.

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 5252?

Answer: Factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252. There are 12 integers that are factors of 5252. The greatest factor of 5252 is 5252.

4. How to Find the LCM of 5244 and 5252?

Answer:

Least Common Multiple of 5244 and 5252 = 6885372

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 5252

5252 = 2 x 2 x 13 x 101

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

LCM = 6885372 = 2 x 2 x 3 x 13 x 19 x 23 x 101

Step 4: Therefore, the least common multiple of 5244 and 5252 is 6885372.