Least Common Multiple of 239 and 246

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 246 the smallest integer that is 58794 that is divisible by both numbers.

Least Common Multiple (LCM) of 239 and 246 is 58794.

LCM(239,246) = 58794

LCM of 239 and 246

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

LCM of:
and

Least Common Multiple of 239 and 246

LCM of 239 and 246 is 58794

Least common multiple can be found by multiplying the highest exponent prime factors of 239 and 246. First we will calculate the prime factors of 239 and 246.

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 246


2 246
3 123
41 41
1

Prime factors of 246 are 2, 3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 239 and 246.

LCM(239,246) = 21×31×411×2391
LCM(239,246) = 58794

Factors of 239

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

1, 239

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Least Common Multiple of 239 and 246 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 246, than apply into the LCM equation.

GCF(239,246) = 1
LCM(239,246) = ( 239 × 246) / 1
LCM(239,246) = 58794 / 1
LCM(239,246) = 58794

Properties of LCM 239 and 246

(i) The LCM of 246 and 239 is associative

LCM of 239 and 246 = LCM of 246 and 239

Related Least Common Multiples of 239

Related Least Common Multiples of 246

Frequently Asked Questions on LCM of 239 and 246

1. What is the LCM of 239 and 246?

Answer: LCM of 239 and 246 is 58794.

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 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

4. How to Find the LCM of 239 and 246?

Answer:

Least Common Multiple of 239 and 246 = 58794

Step 1: Find the prime factorization of 239

239 = 239

Step 2: Find the prime factorization of 246

246 = 2 x 3 x 41

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

LCM = 58794 = 2 x 3 x 41 x 239

Step 4: Therefore, the least common multiple of 239 and 246 is 58794.