Least Common Multiple of 242 and 245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 242 and 245 the smallest integer that is 59290 that is divisible by both numbers.

Least Common Multiple (LCM) of 242 and 245 is 59290.

LCM(242,245) = 59290

LCM of 242 and 245

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

LCM of:
and

Least Common Multiple of 242 and 245

LCM of 242 and 245 is 59290

Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 245. First we will calculate the prime factors of 242 and 245.

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

Prime Factorization of 245


5 245
7 49
7 7
1

Prime factors of 245 are 5,7. Prime factorization of 245 in exponential form is:

245 = 51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 245.

LCM(242,245) = 21×51×72×112
LCM(242,245) = 59290

Factors of 242

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

1, 2, 11, 22, 121, 242

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Least Common Multiple of 242 and 245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 242 and 245, than apply into the LCM equation.

GCF(242,245) = 1
LCM(242,245) = ( 242 × 245) / 1
LCM(242,245) = 59290 / 1
LCM(242,245) = 59290

Properties of LCM 242 and 245

(i) The LCM of 245 and 242 is associative

LCM of 242 and 245 = LCM of 245 and 242

Related Least Common Multiples of 242

Related Least Common Multiples of 245

Frequently Asked Questions on LCM of 242 and 245

1. What is the LCM of 242 and 245?

Answer: LCM of 242 and 245 is 59290.

2. 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.

3. What are the Factors of 245?

Answer: Factors of 245 are 1, 5, 7, 35, 49, 245. There are 6 integers that are factors of 245. The greatest factor of 245 is 245.

4. How to Find the LCM of 242 and 245?

Answer:

Least Common Multiple of 242 and 245 = 59290

Step 1: Find the prime factorization of 242

242 = 2 x 11 x 11

Step 2: Find the prime factorization of 245

245 = 5 x 7 x 7

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

LCM = 59290 = 2 x 5 x 7 x 7 x 11 x 11

Step 4: Therefore, the least common multiple of 242 and 245 is 59290.