Least Common Multiple of 234 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 234 and 237 the smallest integer that is 18486 that is divisible by both numbers.

Least Common Multiple (LCM) of 234 and 237 is 18486.

LCM(234,237) = 18486

LCM of 234 and 237

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

LCM of:
and

Least Common Multiple of 234 and 237

LCM of 234 and 237 is 18486

Least common multiple can be found by multiplying the highest exponent prime factors of 234 and 237. First we will calculate the prime factors of 234 and 237.

Prime Factorization of 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2, 3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

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 234 and 237.

LCM(234,237) = 21×32×131×791
LCM(234,237) = 18486

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Factors of 237

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

1, 3, 79, 237

Least Common Multiple of 234 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 234 and 237, than apply into the LCM equation.

GCF(234,237) = 3
LCM(234,237) = ( 234 × 237) / 3
LCM(234,237) = 55458 / 3
LCM(234,237) = 18486

Properties of LCM 234 and 237

(i) The LCM of 237 and 234 is associative

LCM of 234 and 237 = LCM of 237 and 234

Related Least Common Multiples of 234

Related Least Common Multiples of 237

Frequently Asked Questions on LCM of 234 and 237

1. What is the LCM of 234 and 237?

Answer: LCM of 234 and 237 is 18486.

2. What are the Factors of 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

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 234 and 237?

Answer:

Least Common Multiple of 234 and 237 = 18486

Step 1: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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 = 18486 = 2 x 3 x 3 x 13 x 79

Step 4: Therefore, the least common multiple of 234 and 237 is 18486.