Least Common Multiple of 235 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 235 and 240 the smallest integer that is 11280 that is divisible by both numbers.

Least Common Multiple (LCM) of 235 and 240 is 11280.

LCM(235,240) = 11280

LCM of 235 and 240

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

LCM of:
and

Least Common Multiple of 235 and 240

LCM of 235 and 240 is 11280

Least common multiple can be found by multiplying the highest exponent prime factors of 235 and 240. First we will calculate the prime factors of 235 and 240.

Prime Factorization of 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

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 235 and 240.

LCM(235,240) = 24×31×51×471
LCM(235,240) = 11280

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1, 5, 47, 235

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 235 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 235 and 240, than apply into the LCM equation.

GCF(235,240) = 5
LCM(235,240) = ( 235 × 240) / 5
LCM(235,240) = 56400 / 5
LCM(235,240) = 11280

Properties of LCM 235 and 240

(i) The LCM of 240 and 235 is associative

LCM of 235 and 240 = LCM of 240 and 235

Related Least Common Multiples of 235

Related Least Common Multiples of 240

Frequently Asked Questions on LCM of 235 and 240

1. What is the LCM of 235 and 240?

Answer: LCM of 235 and 240 is 11280.

2. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

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 235 and 240?

Answer:

Least Common Multiple of 235 and 240 = 11280

Step 1: Find the prime factorization of 235

235 = 5 x 47

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 = 11280 = 2 x 2 x 2 x 2 x 3 x 5 x 47

Step 4: Therefore, the least common multiple of 235 and 240 is 11280.