Least Common Multiple of 229 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 229 and 237 the smallest integer that is 54273 that is divisible by both numbers.

Least Common Multiple (LCM) of 229 and 237 is 54273.

LCM(229,237) = 54273

LCM of 229 and 237

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

LCM of:
and

Least Common Multiple of 229 and 237

LCM of 229 and 237 is 54273

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 237. First we will calculate the prime factors of 229 and 237.

Prime Factorization of 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

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 229 and 237.

LCM(229,237) = 31×791×2291
LCM(229,237) = 54273

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1, 229

Factors of 237

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

1, 3, 79, 237

Least Common Multiple of 229 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 229 and 237, than apply into the LCM equation.

GCF(229,237) = 1
LCM(229,237) = ( 229 × 237) / 1
LCM(229,237) = 54273 / 1
LCM(229,237) = 54273

Properties of LCM 229 and 237

(i) The LCM of 237 and 229 is associative

LCM of 229 and 237 = LCM of 237 and 229

Related Least Common Multiples of 229

Related Least Common Multiples of 237

Frequently Asked Questions on LCM of 229 and 237

1. What is the LCM of 229 and 237?

Answer: LCM of 229 and 237 is 54273.

2. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

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 229 and 237?

Answer:

Least Common Multiple of 229 and 237 = 54273

Step 1: Find the prime factorization of 229

229 = 229

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 = 54273 = 3 x 79 x 229

Step 4: Therefore, the least common multiple of 229 and 237 is 54273.