Least Common Multiple of 6244 and 6252

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 6252 the smallest integer that is 9759372 that is divisible by both numbers.

Least Common Multiple (LCM) of 6244 and 6252 is 9759372.

LCM(6244,6252) = 9759372

LCM of 6244 and 6252

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

LCM of:
and

Least Common Multiple of 6244 and 6252

LCM of 6244 and 6252 is 9759372

Least common multiple can be found by multiplying the highest exponent prime factors of 6244 and 6252. First we will calculate the prime factors of 6244 and 6252.

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 6252


2 6252
2 3126
3 1563
521 521
1

Prime factors of 6252 are 2, 3,521. Prime factorization of 6252 in exponential form is:

6252 = 22×31×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 6244 and 6252.

LCM(6244,6252) = 22×31×71×2231×5211
LCM(6244,6252) = 9759372

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 6252

List of positive integer factors of 6252 that divides 6252 without a remainder.

1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252

Least Common Multiple of 6244 and 6252 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 6252, than apply into the LCM equation.

GCF(6244,6252) = 4
LCM(6244,6252) = ( 6244 × 6252) / 4
LCM(6244,6252) = 39037488 / 4
LCM(6244,6252) = 9759372

Properties of LCM 6244 and 6252

(i) The LCM of 6252 and 6244 is associative

LCM of 6244 and 6252 = LCM of 6252 and 6244

Related Least Common Multiples of 6244

Related Least Common Multiples of 6252

Frequently Asked Questions on LCM of 6244 and 6252

1. What is the LCM of 6244 and 6252?

Answer: LCM of 6244 and 6252 is 9759372.

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 6252?

Answer: Factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252. There are 12 integers that are factors of 6252. The greatest factor of 6252 is 6252.

4. How to Find the LCM of 6244 and 6252?

Answer:

Least Common Multiple of 6244 and 6252 = 9759372

Step 1: Find the prime factorization of 6244

6244 = 2 x 2 x 7 x 223

Step 2: Find the prime factorization of 6252

6252 = 2 x 2 x 3 x 521

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

LCM = 9759372 = 2 x 2 x 3 x 7 x 223 x 521

Step 4: Therefore, the least common multiple of 6244 and 6252 is 9759372.