Least Common Multiple of 239 and 245

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 245 the smallest integer that is 58555 that is divisible by both numbers.

Least Common Multiple (LCM) of 239 and 245 is 58555.

LCM(239,245) = 58555

LCM of 239 and 245

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

LCM of:
and

Least Common Multiple of 239 and 245

LCM of 239 and 245 is 58555

Least common multiple can be found by multiplying the highest exponent prime factors of 239 and 245. First we will calculate the prime factors of 239 and 245.

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 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 239 and 245.

LCM(239,245) = 51×72×2391
LCM(239,245) = 58555

Factors of 239

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

1, 239

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Least Common Multiple of 239 and 245 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 245, than apply into the LCM equation.

GCF(239,245) = 1
LCM(239,245) = ( 239 × 245) / 1
LCM(239,245) = 58555 / 1
LCM(239,245) = 58555

Properties of LCM 239 and 245

(i) The LCM of 245 and 239 is associative

LCM of 239 and 245 = LCM of 245 and 239

Related Least Common Multiples of 239

Related Least Common Multiples of 245

Frequently Asked Questions on LCM of 239 and 245

1. What is the LCM of 239 and 245?

Answer: LCM of 239 and 245 is 58555.

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 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

4. How to Find the LCM of 239 and 245?

Answer:

Least Common Multiple of 239 and 245 = 58555

Step 1: Find the prime factorization of 239

239 = 239

Step 2: Find the prime factorization of 245

245 = 5 x 7 x 7

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

LCM = 58555 = 5 x 7 x 7 x 239

Step 4: Therefore, the least common multiple of 239 and 245 is 58555.