Least Common Multiple of 246 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 246 and 247 the smallest integer that is 60762 that is divisible by both numbers.

Least Common Multiple (LCM) of 246 and 247 is 60762.

LCM(246,247) = 60762

LCM of 246 and 247

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

LCM of:
and

Least Common Multiple of 246 and 247

LCM of 246 and 247 is 60762

Least common multiple can be found by multiplying the highest exponent prime factors of 246 and 247. First we will calculate the prime factors of 246 and 247.

Prime Factorization of 246


2 246
3 123
41 41
1

Prime factors of 246 are 2, 3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

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 246 and 247.

LCM(246,247) = 21×31×131×191×411
LCM(246,247) = 60762

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Factors of 247

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

1, 13, 19, 247

Least Common Multiple of 246 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 246 and 247, than apply into the LCM equation.

GCF(246,247) = 1
LCM(246,247) = ( 246 × 247) / 1
LCM(246,247) = 60762 / 1
LCM(246,247) = 60762

Properties of LCM 246 and 247

(i) The LCM of 247 and 246 is associative

LCM of 246 and 247 = LCM of 247 and 246

Related Least Common Multiples of 246

Related Least Common Multiples of 247

Frequently Asked Questions on LCM of 246 and 247

1. What is the LCM of 246 and 247?

Answer: LCM of 246 and 247 is 60762.

2. What are the Factors of 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

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 246 and 247?

Answer:

Least Common Multiple of 246 and 247 = 60762

Step 1: Find the prime factorization of 246

246 = 2 x 3 x 41

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 = 60762 = 2 x 3 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 246 and 247 is 60762.