Least Common Multiple of 1248 and 1256

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 1256 the smallest integer that is 195936 that is divisible by both numbers.

Least Common Multiple (LCM) of 1248 and 1256 is 195936.

LCM(1248,1256) = 195936

LCM of 1248 and 1256

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

LCM of:
and

Least Common Multiple of 1248 and 1256

LCM of 1248 and 1256 is 195936

Least common multiple can be found by multiplying the highest exponent prime factors of 1248 and 1256. First we will calculate the prime factors of 1248 and 1256.

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 1256


2 1256
2 628
2 314
157 157
1

Prime factors of 1256 are 2,157. Prime factorization of 1256 in exponential form is:

1256 = 23×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1248 and 1256.

LCM(1248,1256) = 25×31×131×1571
LCM(1248,1256) = 195936

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 1256

List of positive integer factors of 1256 that divides 1256 without a remainder.

1, 2, 4, 8, 157, 314, 628, 1256

Least Common Multiple of 1248 and 1256 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 1256, than apply into the LCM equation.

GCF(1248,1256) = 8
LCM(1248,1256) = ( 1248 × 1256) / 8
LCM(1248,1256) = 1567488 / 8
LCM(1248,1256) = 195936

Properties of LCM 1248 and 1256

(i) The LCM of 1256 and 1248 is associative

LCM of 1248 and 1256 = LCM of 1256 and 1248

Related Least Common Multiples of 1248

Related Least Common Multiples of 1256

Frequently Asked Questions on LCM of 1248 and 1256

1. What is the LCM of 1248 and 1256?

Answer: LCM of 1248 and 1256 is 195936.

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 1256?

Answer: Factors of 1256 are 1, 2, 4, 8, 157, 314, 628, 1256. There are 8 integers that are factors of 1256. The greatest factor of 1256 is 1256.

4. How to Find the LCM of 1248 and 1256?

Answer:

Least Common Multiple of 1248 and 1256 = 195936

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 1256

1256 = 2 x 2 x 2 x 157

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

LCM = 195936 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 157

Step 4: Therefore, the least common multiple of 1248 and 1256 is 195936.