Least Common Multiple of 230 and 237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 230 and 237 the smallest integer that is 54510 that is divisible by both numbers.

Least Common Multiple (LCM) of 230 and 237 is 54510.

LCM(230,237) = 54510

LCM of 230 and 237

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

LCM of:
and

Least Common Multiple of 230 and 237

LCM of 230 and 237 is 54510

Least common multiple can be found by multiplying the highest exponent prime factors of 230 and 237. First we will calculate the prime factors of 230 and 237.

Prime Factorization of 230


2 230
5 115
23 23
1

Prime factors of 230 are 2, 5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 230 and 237.

LCM(230,237) = 21×31×51×231×791
LCM(230,237) = 54510

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Factors of 237

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

1, 3, 79, 237

Least Common Multiple of 230 and 237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 230 and 237, than apply into the LCM equation.

GCF(230,237) = 1
LCM(230,237) = ( 230 × 237) / 1
LCM(230,237) = 54510 / 1
LCM(230,237) = 54510

Properties of LCM 230 and 237

(i) The LCM of 237 and 230 is associative

LCM of 230 and 237 = LCM of 237 and 230

Related Least Common Multiples of 230

Related Least Common Multiples of 237

Frequently Asked Questions on LCM of 230 and 237

1. What is the LCM of 230 and 237?

Answer: LCM of 230 and 237 is 54510.

2. What are the Factors of 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

3. 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.

4. How to Find the LCM of 230 and 237?

Answer:

Least Common Multiple of 230 and 237 = 54510

Step 1: Find the prime factorization of 230

230 = 2 x 5 x 23

Step 2: Find the prime factorization of 237

237 = 3 x 79

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

LCM = 54510 = 2 x 3 x 5 x 23 x 79

Step 4: Therefore, the least common multiple of 230 and 237 is 54510.