Least Common Multiple of 1241 and 1248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1241 and 1248 the smallest integer that is 1548768 that is divisible by both numbers.

Least Common Multiple (LCM) of 1241 and 1248 is 1548768.

LCM(1241,1248) = 1548768

LCM of 1241 and 1248

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

LCM of:
and

Least Common Multiple of 1241 and 1248

LCM of 1241 and 1248 is 1548768

Least common multiple can be found by multiplying the highest exponent prime factors of 1241 and 1248. First we will calculate the prime factors of 1241 and 1248.

Prime Factorization of 1241


17 1241
73 73
1

Prime factors of 1241 are 17,73. Prime factorization of 1241 in exponential form is:

1241 = 171×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1241 and 1248.

LCM(1241,1248) = 25×31×131×171×731
LCM(1241,1248) = 1548768

Factors of 1241

List of positive integer factors of 1241 that divides 1241 without a remainder.

1, 17, 73, 1241

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

Least Common Multiple of 1241 and 1248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1241 and 1248, than apply into the LCM equation.

GCF(1241,1248) = 1
LCM(1241,1248) = ( 1241 × 1248) / 1
LCM(1241,1248) = 1548768 / 1
LCM(1241,1248) = 1548768

Properties of LCM 1241 and 1248

(i) The LCM of 1248 and 1241 is associative

LCM of 1241 and 1248 = LCM of 1248 and 1241

Related Least Common Multiples of 1241

Related Least Common Multiples of 1248

Frequently Asked Questions on LCM of 1241 and 1248

1. What is the LCM of 1241 and 1248?

Answer: LCM of 1241 and 1248 is 1548768.

2. What are the Factors of 1241?

Answer: Factors of 1241 are 1, 17, 73, 1241. There are 4 integers that are factors of 1241. The greatest factor of 1241 is 1241.

3. 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.

4. How to Find the LCM of 1241 and 1248?

Answer:

Least Common Multiple of 1241 and 1248 = 1548768

Step 1: Find the prime factorization of 1241

1241 = 17 x 73

Step 2: Find the prime factorization of 1248

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

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

LCM = 1548768 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 1241 and 1248 is 1548768.