Least Common Multiple of 240 and 242

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 242 the smallest integer that is 29040 that is divisible by both numbers.

Least Common Multiple (LCM) of 240 and 242 is 29040.

LCM(240,242) = 29040

LCM of 240 and 242

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

LCM of:
and

Least Common Multiple of 240 and 242

LCM of 240 and 242 is 29040

Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 242. First we will calculate the prime factors of 240 and 242.

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 242


2 242
11 121
11 11
1

Prime factors of 242 are 2,11. Prime factorization of 242 in exponential form is:

242 = 21×112

Now multiplying the highest exponent prime factors to calculate the LCM of 240 and 242.

LCM(240,242) = 24×31×51×112
LCM(240,242) = 29040

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 242

List of positive integer factors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Least Common Multiple of 240 and 242 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 242, than apply into the LCM equation.

GCF(240,242) = 2
LCM(240,242) = ( 240 × 242) / 2
LCM(240,242) = 58080 / 2
LCM(240,242) = 29040

Properties of LCM 240 and 242

(i) The LCM of 242 and 240 is associative

LCM of 240 and 242 = LCM of 242 and 240

Related Least Common Multiples of 240

Related Least Common Multiples of 242

Frequently Asked Questions on LCM of 240 and 242

1. What is the LCM of 240 and 242?

Answer: LCM of 240 and 242 is 29040.

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 242?

Answer: Factors of 242 are 1, 2, 11, 22, 121, 242. There are 6 integers that are factors of 242. The greatest factor of 242 is 242.

4. How to Find the LCM of 240 and 242?

Answer:

Least Common Multiple of 240 and 242 = 29040

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 242

242 = 2 x 11 x 11

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

LCM = 29040 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 240 and 242 is 29040.