Least Common Multiple of 247 and 251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 247 and 251 the smallest integer that is 61997 that is divisible by both numbers.

Least Common Multiple (LCM) of 247 and 251 is 61997.

LCM(247,251) = 61997

LCM of 247 and 251

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

LCM of:
and

Least Common Multiple of 247 and 251

LCM of 247 and 251 is 61997

Least common multiple can be found by multiplying the highest exponent prime factors of 247 and 251. First we will calculate the prime factors of 247 and 251.

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

Prime Factorization of 251


251 251
1

Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:

251 = 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 247 and 251.

LCM(247,251) = 131×191×2511
LCM(247,251) = 61997

Factors of 247

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

1, 13, 19, 247

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1, 251

Least Common Multiple of 247 and 251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 247 and 251, than apply into the LCM equation.

GCF(247,251) = 1
LCM(247,251) = ( 247 × 251) / 1
LCM(247,251) = 61997 / 1
LCM(247,251) = 61997

Properties of LCM 247 and 251

(i) The LCM of 251 and 247 is associative

LCM of 247 and 251 = LCM of 251 and 247

Related Least Common Multiples of 247

Related Least Common Multiples of 251

Frequently Asked Questions on LCM of 247 and 251

1. What is the LCM of 247 and 251?

Answer: LCM of 247 and 251 is 61997.

2. 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.

3. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

4. How to Find the LCM of 247 and 251?

Answer:

Least Common Multiple of 247 and 251 = 61997

Step 1: Find the prime factorization of 247

247 = 13 x 19

Step 2: Find the prime factorization of 251

251 = 251

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

LCM = 61997 = 13 x 19 x 251

Step 4: Therefore, the least common multiple of 247 and 251 is 61997.