Least Common Multiple of 239 and 244

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 244 the smallest integer that is 58316 that is divisible by both numbers.

Least Common Multiple (LCM) of 239 and 244 is 58316.

LCM(239,244) = 58316

LCM of 239 and 244

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

LCM of:
and

Least Common Multiple of 239 and 244

LCM of 239 and 244 is 58316

Least common multiple can be found by multiplying the highest exponent prime factors of 239 and 244. First we will calculate the prime factors of 239 and 244.

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 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

Now multiplying the highest exponent prime factors to calculate the LCM of 239 and 244.

LCM(239,244) = 22×611×2391
LCM(239,244) = 58316

Factors of 239

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

1, 239

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Least Common Multiple of 239 and 244 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 244, than apply into the LCM equation.

GCF(239,244) = 1
LCM(239,244) = ( 239 × 244) / 1
LCM(239,244) = 58316 / 1
LCM(239,244) = 58316

Properties of LCM 239 and 244

(i) The LCM of 244 and 239 is associative

LCM of 239 and 244 = LCM of 244 and 239

Related Least Common Multiples of 239

Related Least Common Multiples of 244

Frequently Asked Questions on LCM of 239 and 244

1. What is the LCM of 239 and 244?

Answer: LCM of 239 and 244 is 58316.

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 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

4. How to Find the LCM of 239 and 244?

Answer:

Least Common Multiple of 239 and 244 = 58316

Step 1: Find the prime factorization of 239

239 = 239

Step 2: Find the prime factorization of 244

244 = 2 x 2 x 61

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

LCM = 58316 = 2 x 2 x 61 x 239

Step 4: Therefore, the least common multiple of 239 and 244 is 58316.