Least Common Multiple of 246 and 248

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 248 the smallest integer that is 30504 that is divisible by both numbers.

Least Common Multiple (LCM) of 246 and 248 is 30504.

LCM(246,248) = 30504

LCM of 246 and 248

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

LCM of:
and

Least Common Multiple of 246 and 248

LCM of 246 and 248 is 30504

Least common multiple can be found by multiplying the highest exponent prime factors of 246 and 248. First we will calculate the prime factors of 246 and 248.

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 248


2 248
2 124
2 62
31 31
1

Prime factors of 248 are 2,31. Prime factorization of 248 in exponential form is:

248 = 23×311

Now multiplying the highest exponent prime factors to calculate the LCM of 246 and 248.

LCM(246,248) = 23×31×311×411
LCM(246,248) = 30504

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 248

List of positive integer factors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Least Common Multiple of 246 and 248 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 248, than apply into the LCM equation.

GCF(246,248) = 2
LCM(246,248) = ( 246 × 248) / 2
LCM(246,248) = 61008 / 2
LCM(246,248) = 30504

Properties of LCM 246 and 248

(i) The LCM of 248 and 246 is associative

LCM of 246 and 248 = LCM of 248 and 246

Related Least Common Multiples of 246

Related Least Common Multiples of 248

Frequently Asked Questions on LCM of 246 and 248

1. What is the LCM of 246 and 248?

Answer: LCM of 246 and 248 is 30504.

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 248?

Answer: Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248. There are 8 integers that are factors of 248. The greatest factor of 248 is 248.

4. How to Find the LCM of 246 and 248?

Answer:

Least Common Multiple of 246 and 248 = 30504

Step 1: Find the prime factorization of 246

246 = 2 x 3 x 41

Step 2: Find the prime factorization of 248

248 = 2 x 2 x 2 x 31

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

LCM = 30504 = 2 x 2 x 2 x 3 x 31 x 41

Step 4: Therefore, the least common multiple of 246 and 248 is 30504.