Least Common Multiple of 245 and 247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 245 and 247 the smallest integer that is 60515 that is divisible by both numbers.

Least Common Multiple (LCM) of 245 and 247 is 60515.

LCM(245,247) = 60515

LCM of 245 and 247

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

LCM of:
and

Least Common Multiple of 245 and 247

LCM of 245 and 247 is 60515

Least common multiple can be found by multiplying the highest exponent prime factors of 245 and 247. First we will calculate the prime factors of 245 and 247.

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

Prime Factorization of 247


13 247
19 19
1

Prime factors of 247 are 13,19. Prime factorization of 247 in exponential form is:

247 = 131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 245 and 247.

LCM(245,247) = 51×72×131×191
LCM(245,247) = 60515

Factors of 245

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

1, 5, 7, 35, 49, 245

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Least Common Multiple of 245 and 247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 245 and 247, than apply into the LCM equation.

GCF(245,247) = 1
LCM(245,247) = ( 245 × 247) / 1
LCM(245,247) = 60515 / 1
LCM(245,247) = 60515

Properties of LCM 245 and 247

(i) The LCM of 247 and 245 is associative

LCM of 245 and 247 = LCM of 247 and 245

Related Least Common Multiples of 245

Related Least Common Multiples of 247

Frequently Asked Questions on LCM of 245 and 247

1. What is the LCM of 245 and 247?

Answer: LCM of 245 and 247 is 60515.

2. 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.

3. What are the Factors of 247?

Answer: Factors of 247 are 1, 13, 19, 247. There are 4 integers that are factors of 247. The greatest factor of 247 is 247.

4. How to Find the LCM of 245 and 247?

Answer:

Least Common Multiple of 245 and 247 = 60515

Step 1: Find the prime factorization of 245

245 = 5 x 7 x 7

Step 2: Find the prime factorization of 247

247 = 13 x 19

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

LCM = 60515 = 5 x 7 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 245 and 247 is 60515.