Least Common Multiple of 1248 and 1254

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 1254 the smallest integer that is 260832 that is divisible by both numbers.

Least Common Multiple (LCM) of 1248 and 1254 is 260832.

LCM(1248,1254) = 260832

LCM of 1248 and 1254

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

LCM of:
and

Least Common Multiple of 1248 and 1254

LCM of 1248 and 1254 is 260832

Least common multiple can be found by multiplying the highest exponent prime factors of 1248 and 1254. First we will calculate the prime factors of 1248 and 1254.

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 1254


2 1254
3 627
11 209
19 19
1

Prime factors of 1254 are 2, 3, 11,19. Prime factorization of 1254 in exponential form is:

1254 = 21×31×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1248 and 1254.

LCM(1248,1254) = 25×31×111×131×191
LCM(1248,1254) = 260832

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 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254

Least Common Multiple of 1248 and 1254 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 1254, than apply into the LCM equation.

GCF(1248,1254) = 6
LCM(1248,1254) = ( 1248 × 1254) / 6
LCM(1248,1254) = 1564992 / 6
LCM(1248,1254) = 260832

Properties of LCM 1248 and 1254

(i) The LCM of 1254 and 1248 is associative

LCM of 1248 and 1254 = LCM of 1254 and 1248

Related Least Common Multiples of 1248

Related Least Common Multiples of 1254

Frequently Asked Questions on LCM of 1248 and 1254

1. What is the LCM of 1248 and 1254?

Answer: LCM of 1248 and 1254 is 260832.

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 1254?

Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.

4. How to Find the LCM of 1248 and 1254?

Answer:

Least Common Multiple of 1248 and 1254 = 260832

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 1254

1254 = 2 x 3 x 11 x 19

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

LCM = 260832 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 1248 and 1254 is 260832.