Least Common Multiple of 237 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 237 and 240 the smallest integer that is 18960 that is divisible by both numbers.

Least Common Multiple (LCM) of 237 and 240 is 18960.

LCM(237,240) = 18960

LCM of 237 and 240

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

LCM of:
and

Least Common Multiple of 237 and 240

LCM of 237 and 240 is 18960

Least common multiple can be found by multiplying the highest exponent prime factors of 237 and 240. First we will calculate the prime factors of 237 and 240.

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

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 237 and 240.

LCM(237,240) = 24×31×51×791
LCM(237,240) = 18960

Factors of 237

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

1, 3, 79, 237

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 237 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 237 and 240, than apply into the LCM equation.

GCF(237,240) = 3
LCM(237,240) = ( 237 × 240) / 3
LCM(237,240) = 56880 / 3
LCM(237,240) = 18960

Properties of LCM 237 and 240

(i) The LCM of 240 and 237 is associative

LCM of 237 and 240 = LCM of 240 and 237

Related Least Common Multiples of 237

Related Least Common Multiples of 240

Frequently Asked Questions on LCM of 237 and 240

1. What is the LCM of 237 and 240?

Answer: LCM of 237 and 240 is 18960.

2. 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.

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 237 and 240?

Answer:

Least Common Multiple of 237 and 240 = 18960

Step 1: Find the prime factorization of 237

237 = 3 x 79

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 = 18960 = 2 x 2 x 2 x 2 x 3 x 5 x 79

Step 4: Therefore, the least common multiple of 237 and 240 is 18960.