Least Common Multiple of 236 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 236 and 240 the smallest integer that is 14160 that is divisible by both numbers.

Least Common Multiple (LCM) of 236 and 240 is 14160.

LCM(236,240) = 14160

LCM of 236 and 240

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

LCM of:
and

Least Common Multiple of 236 and 240

LCM of 236 and 240 is 14160

Least common multiple can be found by multiplying the highest exponent prime factors of 236 and 240. First we will calculate the prime factors of 236 and 240.

Prime Factorization of 236


2 236
2 118
59 59
1

Prime factors of 236 are 2,59. Prime factorization of 236 in exponential form is:

236 = 22×591

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 236 and 240.

LCM(236,240) = 24×31×51×591
LCM(236,240) = 14160

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

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 236 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 236 and 240, than apply into the LCM equation.

GCF(236,240) = 4
LCM(236,240) = ( 236 × 240) / 4
LCM(236,240) = 56640 / 4
LCM(236,240) = 14160

Properties of LCM 236 and 240

(i) The LCM of 240 and 236 is associative

LCM of 236 and 240 = LCM of 240 and 236

Related Least Common Multiples of 236

Related Least Common Multiples of 240

Frequently Asked Questions on LCM of 236 and 240

1. What is the LCM of 236 and 240?

Answer: LCM of 236 and 240 is 14160.

2. What are the Factors of 236?

Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.

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 236 and 240?

Answer:

Least Common Multiple of 236 and 240 = 14160

Step 1: Find the prime factorization of 236

236 = 2 x 2 x 59

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 = 14160 = 2 x 2 x 2 x 2 x 3 x 5 x 59

Step 4: Therefore, the least common multiple of 236 and 240 is 14160.