Least Common Multiple of 233 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 233 and 237 the smallest integer that is 55221 that is divisible by both numbers.

Least Common Multiple (LCM) of 233 and 237 is 55221.

LCM(233,237) = 55221

LCM of 233 and 237

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

LCM of:
and

Least Common Multiple of 233 and 237

LCM of 233 and 237 is 55221

Least common multiple can be found by multiplying the highest exponent prime factors of 233 and 237. First we will calculate the prime factors of 233 and 237.

Prime Factorization of 233


233 233
1

Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:

233 = 2331

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 233 and 237.

LCM(233,237) = 31×791×2331
LCM(233,237) = 55221

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1, 233

Factors of 237

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

1, 3, 79, 237

Least Common Multiple of 233 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 233 and 237, than apply into the LCM equation.

GCF(233,237) = 1
LCM(233,237) = ( 233 × 237) / 1
LCM(233,237) = 55221 / 1
LCM(233,237) = 55221

Properties of LCM 233 and 237

(i) The LCM of 237 and 233 is associative

LCM of 233 and 237 = LCM of 237 and 233

Related Least Common Multiples of 233

Related Least Common Multiples of 237

Frequently Asked Questions on LCM of 233 and 237

1. What is the LCM of 233 and 237?

Answer: LCM of 233 and 237 is 55221.

2. What are the Factors of 233?

Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.

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 233 and 237?

Answer:

Least Common Multiple of 233 and 237 = 55221

Step 1: Find the prime factorization of 233

233 = 233

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 = 55221 = 3 x 79 x 233

Step 4: Therefore, the least common multiple of 233 and 237 is 55221.