Least Common Multiple of 233 and 240

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 240 the smallest integer that is 55920 that is divisible by both numbers.

Least Common Multiple (LCM) of 233 and 240 is 55920.

LCM(233,240) = 55920

LCM of 233 and 240

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

LCM of:
and

Least Common Multiple of 233 and 240

LCM of 233 and 240 is 55920

Least common multiple can be found by multiplying the highest exponent prime factors of 233 and 240. First we will calculate the prime factors of 233 and 240.

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 240


2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 240 are 2, 3,5. Prime factorization of 240 in exponential form is:

240 = 24×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 233 and 240.

LCM(233,240) = 24×31×51×2331
LCM(233,240) = 55920

Factors of 233

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

1, 233

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Least Common Multiple of 233 and 240 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 240, than apply into the LCM equation.

GCF(233,240) = 1
LCM(233,240) = ( 233 × 240) / 1
LCM(233,240) = 55920 / 1
LCM(233,240) = 55920

Properties of LCM 233 and 240

(i) The LCM of 240 and 233 is associative

LCM of 233 and 240 = LCM of 240 and 233

Related Least Common Multiples of 233

Related Least Common Multiples of 240

Frequently Asked Questions on LCM of 233 and 240

1. What is the LCM of 233 and 240?

Answer: LCM of 233 and 240 is 55920.

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 240?

Answer: Factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. There are 20 integers that are factors of 240. The greatest factor of 240 is 240.

4. How to Find the LCM of 233 and 240?

Answer:

Least Common Multiple of 233 and 240 = 55920

Step 1: Find the prime factorization of 233

233 = 233

Step 2: Find the prime factorization of 240

240 = 2 x 2 x 2 x 2 x 3 x 5

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

LCM = 55920 = 2 x 2 x 2 x 2 x 3 x 5 x 233

Step 4: Therefore, the least common multiple of 233 and 240 is 55920.