Least Common Multiple of 1237 and 1239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1237 and 1239 the smallest integer that is 1532643 that is divisible by both numbers.

Least Common Multiple (LCM) of 1237 and 1239 is 1532643.

LCM(1237,1239) = 1532643

LCM of 1237 and 1239

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

LCM of:
and

Least Common Multiple of 1237 and 1239

LCM of 1237 and 1239 is 1532643

Least common multiple can be found by multiplying the highest exponent prime factors of 1237 and 1239. First we will calculate the prime factors of 1237 and 1239.

Prime Factorization of 1237


1237 1237
1

Prime factors of 1237 are 1237. Prime factorization of 1237 in exponential form is:

1237 = 12371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1237 and 1239.

LCM(1237,1239) = 31×71×591×12371
LCM(1237,1239) = 1532643

Factors of 1237

List of positive integer factors of 1237 that divides 1237 without a remainder.

1, 1237

Factors of 1239

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

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

Least Common Multiple of 1237 and 1239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1237 and 1239, than apply into the LCM equation.

GCF(1237,1239) = 1
LCM(1237,1239) = ( 1237 × 1239) / 1
LCM(1237,1239) = 1532643 / 1
LCM(1237,1239) = 1532643

Properties of LCM 1237 and 1239

(i) The LCM of 1239 and 1237 is associative

LCM of 1237 and 1239 = LCM of 1239 and 1237

Related Least Common Multiples of 1237

Related Least Common Multiples of 1239

Frequently Asked Questions on LCM of 1237 and 1239

1. What is the LCM of 1237 and 1239?

Answer: LCM of 1237 and 1239 is 1532643.

2. What are the Factors of 1237?

Answer: Factors of 1237 are 1, 1237. There are 2 integers that are factors of 1237. The greatest factor of 1237 is 1237.

3. 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.

4. How to Find the LCM of 1237 and 1239?

Answer:

Least Common Multiple of 1237 and 1239 = 1532643

Step 1: Find the prime factorization of 1237

1237 = 1237

Step 2: Find the prime factorization of 1239

1239 = 3 x 7 x 59

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

LCM = 1532643 = 3 x 7 x 59 x 1237

Step 4: Therefore, the least common multiple of 1237 and 1239 is 1532643.