Least Common Multiple of 1244 and 1252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1244 and 1252 the smallest integer that is 389372 that is divisible by both numbers.

Least Common Multiple (LCM) of 1244 and 1252 is 389372.

LCM(1244,1252) = 389372

LCM of 1244 and 1252

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

LCM of:
and

Least Common Multiple of 1244 and 1252

LCM of 1244 and 1252 is 389372

Least common multiple can be found by multiplying the highest exponent prime factors of 1244 and 1252. First we will calculate the prime factors of 1244 and 1252.

Prime Factorization of 1244


2 1244
2 622
311 311
1

Prime factors of 1244 are 2,311. Prime factorization of 1244 in exponential form is:

1244 = 22×3111

Prime Factorization of 1252


2 1252
2 626
313 313
1

Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:

1252 = 22×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 1244 and 1252.

LCM(1244,1252) = 22×3111×3131
LCM(1244,1252) = 389372

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1, 2, 4, 311, 622, 1244

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1, 2, 4, 313, 626, 1252

Least Common Multiple of 1244 and 1252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1244 and 1252, than apply into the LCM equation.

GCF(1244,1252) = 4
LCM(1244,1252) = ( 1244 × 1252) / 4
LCM(1244,1252) = 1557488 / 4
LCM(1244,1252) = 389372

Properties of LCM 1244 and 1252

(i) The LCM of 1252 and 1244 is associative

LCM of 1244 and 1252 = LCM of 1252 and 1244

Related Least Common Multiples of 1244

Related Least Common Multiples of 1252

Frequently Asked Questions on LCM of 1244 and 1252

1. What is the LCM of 1244 and 1252?

Answer: LCM of 1244 and 1252 is 389372.

2. What are the Factors of 1244?

Answer: Factors of 1244 are 1, 2, 4, 311, 622, 1244. There are 6 integers that are factors of 1244. The greatest factor of 1244 is 1244.

3. What are the Factors of 1252?

Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.

4. How to Find the LCM of 1244 and 1252?

Answer:

Least Common Multiple of 1244 and 1252 = 389372

Step 1: Find the prime factorization of 1244

1244 = 2 x 2 x 311

Step 2: Find the prime factorization of 1252

1252 = 2 x 2 x 313

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

LCM = 389372 = 2 x 2 x 311 x 313

Step 4: Therefore, the least common multiple of 1244 and 1252 is 389372.