Least Common Multiple of 1248 and 1253

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 1253 the smallest integer that is 1563744 that is divisible by both numbers.

Least Common Multiple (LCM) of 1248 and 1253 is 1563744.

LCM(1248,1253) = 1563744

LCM of 1248 and 1253

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

LCM of:
and

Least Common Multiple of 1248 and 1253

LCM of 1248 and 1253 is 1563744

Least common multiple can be found by multiplying the highest exponent prime factors of 1248 and 1253. First we will calculate the prime factors of 1248 and 1253.

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 1253


7 1253
179 179
1

Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:

1253 = 71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 1248 and 1253.

LCM(1248,1253) = 25×31×71×131×1791
LCM(1248,1253) = 1563744

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 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1, 7, 179, 1253

Least Common Multiple of 1248 and 1253 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 1253, than apply into the LCM equation.

GCF(1248,1253) = 1
LCM(1248,1253) = ( 1248 × 1253) / 1
LCM(1248,1253) = 1563744 / 1
LCM(1248,1253) = 1563744

Properties of LCM 1248 and 1253

(i) The LCM of 1253 and 1248 is associative

LCM of 1248 and 1253 = LCM of 1253 and 1248

Related Least Common Multiples of 1248

Related Least Common Multiples of 1253

Frequently Asked Questions on LCM of 1248 and 1253

1. What is the LCM of 1248 and 1253?

Answer: LCM of 1248 and 1253 is 1563744.

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 1253?

Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.

4. How to Find the LCM of 1248 and 1253?

Answer:

Least Common Multiple of 1248 and 1253 = 1563744

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 1253

1253 = 7 x 179

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

LCM = 1563744 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 179

Step 4: Therefore, the least common multiple of 1248 and 1253 is 1563744.