Least Common Multiple of 237 and 239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 237 and 239 the smallest integer that is 56643 that is divisible by both numbers.

Least Common Multiple (LCM) of 237 and 239 is 56643.

LCM(237,239) = 56643

LCM of 237 and 239

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

LCM of:
and

Least Common Multiple of 237 and 239

LCM of 237 and 239 is 56643

Least common multiple can be found by multiplying the highest exponent prime factors of 237 and 239. First we will calculate the prime factors of 237 and 239.

Prime Factorization of 237


3 237
79 79
1

Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:

237 = 31×791

Prime Factorization of 239


239 239
1

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

239 = 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 237 and 239.

LCM(237,239) = 31×791×2391
LCM(237,239) = 56643

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Factors of 239

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

1, 239

Least Common Multiple of 237 and 239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 237 and 239, than apply into the LCM equation.

GCF(237,239) = 1
LCM(237,239) = ( 237 × 239) / 1
LCM(237,239) = 56643 / 1
LCM(237,239) = 56643

Properties of LCM 237 and 239

(i) The LCM of 239 and 237 is associative

LCM of 237 and 239 = LCM of 239 and 237

Related Least Common Multiples of 237

Related Least Common Multiples of 239

Frequently Asked Questions on LCM of 237 and 239

1. What is the LCM of 237 and 239?

Answer: LCM of 237 and 239 is 56643.

2. What are the Factors of 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

3. 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.

4. How to Find the LCM of 237 and 239?

Answer:

Least Common Multiple of 237 and 239 = 56643

Step 1: Find the prime factorization of 237

237 = 3 x 79

Step 2: Find the prime factorization of 239

239 = 239

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

LCM = 56643 = 3 x 79 x 239

Step 4: Therefore, the least common multiple of 237 and 239 is 56643.