Least Common Multiple of 1248 and 1255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1248 and 1255 the smallest integer that is 1566240 that is divisible by both numbers.

Least Common Multiple (LCM) of 1248 and 1255 is 1566240.

LCM(1248,1255) = 1566240

LCM of 1248 and 1255

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

LCM of:
and

Least Common Multiple of 1248 and 1255

LCM of 1248 and 1255 is 1566240

Least common multiple can be found by multiplying the highest exponent prime factors of 1248 and 1255. First we will calculate the prime factors of 1248 and 1255.

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

Prime Factorization of 1255


5 1255
251 251
1

Prime factors of 1255 are 5,251. Prime factorization of 1255 in exponential form is:

1255 = 51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 1248 and 1255.

LCM(1248,1255) = 25×31×51×131×2511
LCM(1248,1255) = 1566240

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

Factors of 1255

List of positive integer factors of 1255 that divides 1255 without a remainder.

1, 5, 251, 1255

Least Common Multiple of 1248 and 1255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1248 and 1255, than apply into the LCM equation.

GCF(1248,1255) = 1
LCM(1248,1255) = ( 1248 × 1255) / 1
LCM(1248,1255) = 1566240 / 1
LCM(1248,1255) = 1566240

Properties of LCM 1248 and 1255

(i) The LCM of 1255 and 1248 is associative

LCM of 1248 and 1255 = LCM of 1255 and 1248

Related Least Common Multiples of 1248

Related Least Common Multiples of 1255

Frequently Asked Questions on LCM of 1248 and 1255

1. What is the LCM of 1248 and 1255?

Answer: LCM of 1248 and 1255 is 1566240.

2. 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.

3. What are the Factors of 1255?

Answer: Factors of 1255 are 1, 5, 251, 1255. There are 4 integers that are factors of 1255. The greatest factor of 1255 is 1255.

4. How to Find the LCM of 1248 and 1255?

Answer:

Least Common Multiple of 1248 and 1255 = 1566240

Step 1: Find the prime factorization of 1248

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

Step 2: Find the prime factorization of 1255

1255 = 5 x 251

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

LCM = 1566240 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 251

Step 4: Therefore, the least common multiple of 1248 and 1255 is 1566240.