Least Common Multiple of 1239 and 1246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1239 and 1246 the smallest integer that is 220542 that is divisible by both numbers.

Least Common Multiple (LCM) of 1239 and 1246 is 220542.

LCM(1239,1246) = 220542

LCM of 1239 and 1246

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

LCM of:
and

Least Common Multiple of 1239 and 1246

LCM of 1239 and 1246 is 220542

Least common multiple can be found by multiplying the highest exponent prime factors of 1239 and 1246. First we will calculate the prime factors of 1239 and 1246.

Prime Factorization of 1239


3 1239
7 413
59 59
1

Prime factors of 1239 are 3, 7,59. Prime factorization of 1239 in exponential form is:

1239 = 31×71×591

Prime Factorization of 1246


2 1246
7 623
89 89
1

Prime factors of 1246 are 2, 7,89. Prime factorization of 1246 in exponential form is:

1246 = 21×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1239 and 1246.

LCM(1239,1246) = 21×31×71×591×891
LCM(1239,1246) = 220542

Factors of 1239

List of positive integer factors of 1239 that divides 1239 without a remainder.

1, 3, 7, 21, 59, 177, 413, 1239

Factors of 1246

List of positive integer factors of 1246 that divides 1246 without a remainder.

1, 2, 7, 14, 89, 178, 623, 1246

Least Common Multiple of 1239 and 1246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1239 and 1246, than apply into the LCM equation.

GCF(1239,1246) = 7
LCM(1239,1246) = ( 1239 × 1246) / 7
LCM(1239,1246) = 1543794 / 7
LCM(1239,1246) = 220542

Properties of LCM 1239 and 1246

(i) The LCM of 1246 and 1239 is associative

LCM of 1239 and 1246 = LCM of 1246 and 1239

Related Least Common Multiples of 1239

Related Least Common Multiples of 1246

Frequently Asked Questions on LCM of 1239 and 1246

1. What is the LCM of 1239 and 1246?

Answer: LCM of 1239 and 1246 is 220542.

2. What are the Factors of 1239?

Answer: Factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239. There are 8 integers that are factors of 1239. The greatest factor of 1239 is 1239.

3. What are the Factors of 1246?

Answer: Factors of 1246 are 1, 2, 7, 14, 89, 178, 623, 1246. There are 8 integers that are factors of 1246. The greatest factor of 1246 is 1246.

4. How to Find the LCM of 1239 and 1246?

Answer:

Least Common Multiple of 1239 and 1246 = 220542

Step 1: Find the prime factorization of 1239

1239 = 3 x 7 x 59

Step 2: Find the prime factorization of 1246

1246 = 2 x 7 x 89

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

LCM = 220542 = 2 x 3 x 7 x 59 x 89

Step 4: Therefore, the least common multiple of 1239 and 1246 is 220542.