Least Common Multiple of 1243 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 1243 and 1248 the smallest integer that is 1551264 that is divisible by both numbers.

Least Common Multiple (LCM) of 1243 and 1248 is 1551264.

LCM(1243,1248) = 1551264

LCM of 1243 and 1248

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

LCM of:
and

Least Common Multiple of 1243 and 1248

LCM of 1243 and 1248 is 1551264

Least common multiple can be found by multiplying the highest exponent prime factors of 1243 and 1248. First we will calculate the prime factors of 1243 and 1248.

Prime Factorization of 1243


11 1243
113 113
1

Prime factors of 1243 are 11,113. Prime factorization of 1243 in exponential form is:

1243 = 111×1131

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 1243 and 1248.

LCM(1243,1248) = 25×31×111×131×1131
LCM(1243,1248) = 1551264

Factors of 1243

List of positive integer factors of 1243 that divides 1243 without a remainder.

1, 11, 113, 1243

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 1243 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 1243 and 1248, than apply into the LCM equation.

GCF(1243,1248) = 1
LCM(1243,1248) = ( 1243 × 1248) / 1
LCM(1243,1248) = 1551264 / 1
LCM(1243,1248) = 1551264

Properties of LCM 1243 and 1248

(i) The LCM of 1248 and 1243 is associative

LCM of 1243 and 1248 = LCM of 1248 and 1243

Related Least Common Multiples of 1243

Related Least Common Multiples of 1248

Frequently Asked Questions on LCM of 1243 and 1248

1. What is the LCM of 1243 and 1248?

Answer: LCM of 1243 and 1248 is 1551264.

2. What are the Factors of 1243?

Answer: Factors of 1243 are 1, 11, 113, 1243. There are 4 integers that are factors of 1243. The greatest factor of 1243 is 1243.

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 1243 and 1248?

Answer:

Least Common Multiple of 1243 and 1248 = 1551264

Step 1: Find the prime factorization of 1243

1243 = 11 x 113

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 = 1551264 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 113

Step 4: Therefore, the least common multiple of 1243 and 1248 is 1551264.