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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 246 and 244 is associative
LCM of 244 and 246 = LCM of 246 and 244
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.