Least Common Multiple of 237 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 237 and 245 the smallest integer that is 58065 that is divisible by both numbers.

Least Common Multiple (LCM) of 237 and 245 is 58065.

LCM(237,245) = 58065

LCM of 237 and 245

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

LCM of:
and

Least Common Multiple of 237 and 245

LCM of 237 and 245 is 58065

Least common multiple can be found by multiplying the highest exponent prime factors of 237 and 245. First we will calculate the prime factors of 237 and 245.

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 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 237 and 245.

LCM(237,245) = 31×51×72×791
LCM(237,245) = 58065

Factors of 237

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

1, 3, 79, 237

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 237 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 237 and 245, than apply into the LCM equation.

GCF(237,245) = 1
LCM(237,245) = ( 237 × 245) / 1
LCM(237,245) = 58065 / 1
LCM(237,245) = 58065

Properties of LCM 237 and 245

(i) The LCM of 245 and 237 is associative

LCM of 237 and 245 = LCM of 245 and 237

Related Least Common Multiples of 237

Related Least Common Multiples of 245

Frequently Asked Questions on LCM of 237 and 245

1. What is the LCM of 237 and 245?

Answer: LCM of 237 and 245 is 58065.

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 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 237 and 245?

Answer:

Least Common Multiple of 237 and 245 = 58065

Step 1: Find the prime factorization of 237

237 = 3 x 79

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 = 58065 = 3 x 5 x 7 x 7 x 79

Step 4: Therefore, the least common multiple of 237 and 245 is 58065.