Least Common Multiple of 240 and 244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 240 and 244 the smallest integer that is 14640 that is divisible by both numbers.

Least Common Multiple (LCM) of 240 and 244 is 14640.

LCM(240,244) = 14640

LCM of 240 and 244

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

LCM of:
and

Least Common Multiple of 240 and 244

LCM of 240 and 244 is 14640

Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 244. First we will calculate the prime factors of 240 and 244.

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

Prime Factorization of 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

Now multiplying the highest exponent prime factors to calculate the LCM of 240 and 244.

LCM(240,244) = 24×31×51×611
LCM(240,244) = 14640

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

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Least Common Multiple of 240 and 244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 240 and 244, than apply into the LCM equation.

GCF(240,244) = 4
LCM(240,244) = ( 240 × 244) / 4
LCM(240,244) = 58560 / 4
LCM(240,244) = 14640

Properties of LCM 240 and 244

(i) The LCM of 244 and 240 is associative

LCM of 240 and 244 = LCM of 244 and 240

Related Least Common Multiples of 240

Related Least Common Multiples of 244

Frequently Asked Questions on LCM of 240 and 244

1. What is the LCM of 240 and 244?

Answer: LCM of 240 and 244 is 14640.

2. 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.

3. What are the Factors of 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

4. How to Find the LCM of 240 and 244?

Answer:

Least Common Multiple of 240 and 244 = 14640

Step 1: Find the prime factorization of 240

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

Step 2: Find the prime factorization of 244

244 = 2 x 2 x 61

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

LCM = 14640 = 2 x 2 x 2 x 2 x 3 x 5 x 61

Step 4: Therefore, the least common multiple of 240 and 244 is 14640.