Least Common Multiple of 244 and 246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 244 and 246 the smallest integer that is 30012 that is divisible by both numbers.

Least Common Multiple (LCM) of 244 and 246 is 30012.

LCM(244,246) = 30012

LCM of 244 and 246

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

LCM of:
and

Least Common Multiple of 244 and 246

LCM of 244 and 246 is 30012

Least common multiple can be found by multiplying the highest exponent prime factors of 244 and 246. First we will calculate the prime factors of 244 and 246.

Prime Factorization of 244


2 244
2 122
61 61
1

Prime factors of 244 are 2,61. Prime factorization of 244 in exponential form is:

244 = 22×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 244 and 246.

LCM(244,246) = 22×31×411×611
LCM(244,246) = 30012

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Factors of 246

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

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

Least Common Multiple of 244 and 246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 244 and 246, than apply into the LCM equation.

GCF(244,246) = 2
LCM(244,246) = ( 244 × 246) / 2
LCM(244,246) = 60024 / 2
LCM(244,246) = 30012

Properties of LCM 244 and 246

(i) The LCM of 246 and 244 is associative

LCM of 244 and 246 = LCM of 246 and 244

Frequently Asked Questions on LCM of 244 and 246

1. What is the LCM of 244 and 246?

Answer: LCM of 244 and 246 is 30012.

2. What are the Factors of 244?

Answer: Factors of 244 are 1, 2, 4, 61, 122, 244. There are 6 integers that are factors of 244. The greatest factor of 244 is 244.

3. 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.

4. How to Find the LCM of 244 and 246?

Answer:

Least Common Multiple of 244 and 246 = 30012

Step 1: Find the prime factorization of 244

244 = 2 x 2 x 61

Step 2: Find the prime factorization of 246

246 = 2 x 3 x 41

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

LCM = 30012 = 2 x 2 x 3 x 41 x 61

Step 4: Therefore, the least common multiple of 244 and 246 is 30012.