Least Common Multiple of 1248 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 1248 and 1252 the smallest integer that is 390624 that is divisible by both numbers.

Least Common Multiple (LCM) of 1248 and 1252 is 390624.

LCM(1248,1252) = 390624

LCM of 1248 and 1252

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

LCM of:
and

Least Common Multiple of 1248 and 1252

LCM of 1248 and 1252 is 390624

Least common multiple can be found by multiplying the highest exponent prime factors of 1248 and 1252. First we will calculate the prime factors of 1248 and 1252.

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 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 1248 and 1252.

LCM(1248,1252) = 25×31×131×3131
LCM(1248,1252) = 390624

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 1252

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

1, 2, 4, 313, 626, 1252

Least Common Multiple of 1248 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 1248 and 1252, than apply into the LCM equation.

GCF(1248,1252) = 4
LCM(1248,1252) = ( 1248 × 1252) / 4
LCM(1248,1252) = 1562496 / 4
LCM(1248,1252) = 390624

Properties of LCM 1248 and 1252

(i) The LCM of 1252 and 1248 is associative

LCM of 1248 and 1252 = LCM of 1252 and 1248

Related Least Common Multiples of 1248

Related Least Common Multiples of 1252

Frequently Asked Questions on LCM of 1248 and 1252

1. What is the LCM of 1248 and 1252?

Answer: LCM of 1248 and 1252 is 390624.

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 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 1248 and 1252?

Answer:

Least Common Multiple of 1248 and 1252 = 390624

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 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 = 390624 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 313

Step 4: Therefore, the least common multiple of 1248 and 1252 is 390624.