Least Common Multiple of 239 and 247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 239 and 247 the smallest integer that is 59033 that is divisible by both numbers.

Least Common Multiple (LCM) of 239 and 247 is 59033.

LCM(239,247) = 59033

LCM of 239 and 247

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

LCM of:
and

Least Common Multiple of 239 and 247

LCM of 239 and 247 is 59033

Least common multiple can be found by multiplying the highest exponent prime factors of 239 and 247. First we will calculate the prime factors of 239 and 247.

Prime Factorization of 239


239 239
1

Prime factors of 239 are 239. Prime factorization of 239 in exponential form is:

239 = 2391

Prime Factorization of 247


13 247
19 19
1

Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:

247 = 131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 239 and 247.

LCM(239,247) = 131×191×2391
LCM(239,247) = 59033

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1, 239

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Least Common Multiple of 239 and 247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 239 and 247, than apply into the LCM equation.

GCF(239,247) = 1
LCM(239,247) = ( 239 × 247) / 1
LCM(239,247) = 59033 / 1
LCM(239,247) = 59033

Properties of LCM 239 and 247

(i) The LCM of 247 and 239 is associative

LCM of 239 and 247 = LCM of 247 and 239

Related Least Common Multiples of 239

Related Least Common Multiples of 247

Frequently Asked Questions on LCM of 239 and 247

1. What is the LCM of 239 and 247?

Answer: LCM of 239 and 247 is 59033.

2. What are the Factors of 239?

Answer: Factors of 239 are 1, 239. There are 2 integers that are factors of 239. The greatest factor of 239 is 239.

3. What are the Factors of 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

4. How to Find the LCM of 239 and 247?

Answer:

Least Common Multiple of 239 and 247 = 59033

Step 1: Find the prime factorization of 239

239 = 239

Step 2: Find the prime factorization of 247

247 = 13 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 = 59033 = 13 x 19 x 239

Step 4: Therefore, the least common multiple of 239 and 247 is 59033.