Least Common Multiple of 1244 and 1248

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 1248 the smallest integer that is 388128 that is divisible by both numbers.

Least Common Multiple (LCM) of 1244 and 1248 is 388128.

LCM(1244,1248) = 388128

LCM of 1244 and 1248

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

LCM of:
and

Least Common Multiple of 1244 and 1248

LCM of 1244 and 1248 is 388128

Least common multiple can be found by multiplying the highest exponent prime factors of 1244 and 1248. First we will calculate the prime factors of 1244 and 1248.

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 1248


2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 1248 are 2, 3,13. Prime factorization of 1248 in exponential form is:

1248 = 25×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1244 and 1248.

LCM(1244,1248) = 25×31×131×3111
LCM(1244,1248) = 388128

Factors of 1244

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

1, 2, 4, 311, 622, 1244

Factors of 1248

List of positive integer factors of 1248 that divides 1248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248

Least Common Multiple of 1244 and 1248 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 1248, than apply into the LCM equation.

GCF(1244,1248) = 4
LCM(1244,1248) = ( 1244 × 1248) / 4
LCM(1244,1248) = 1552512 / 4
LCM(1244,1248) = 388128

Properties of LCM 1244 and 1248

(i) The LCM of 1248 and 1244 is associative

LCM of 1244 and 1248 = LCM of 1248 and 1244

Related Least Common Multiples of 1244

Related Least Common Multiples of 1248

Frequently Asked Questions on LCM of 1244 and 1248

1. What is the LCM of 1244 and 1248?

Answer: LCM of 1244 and 1248 is 388128.

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 1248?

Answer: Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. There are 24 integers that are factors of 1248. The greatest factor of 1248 is 1248.

4. How to Find the LCM of 1244 and 1248?

Answer:

Least Common Multiple of 1244 and 1248 = 388128

Step 1: Find the prime factorization of 1244

1244 = 2 x 2 x 311

Step 2: Find the prime factorization of 1248

1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13

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

LCM = 388128 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 311

Step 4: Therefore, the least common multiple of 1244 and 1248 is 388128.