Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2246 and 2251 the smallest integer that is 5055746 that is divisible by both numbers.
Least Common Multiple (LCM) of 2246 and 2251 is 5055746.
LCM(2246,2251) = 5055746
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 2246 and 2251. First we will calculate the prime factors of 2246 and 2251.
Prime Factorization of 2246
2 | 2246 |
1123 | 1123 |
1 |
Prime factors of 2246 are 2,1123. Prime factorization of 2246 in exponential form is:
2246 = 21×11231
Prime Factorization of 2251
2251 | 2251 |
1 |
Prime factors of 2251 are 2251. Prime factorization of 2251 in exponential form is:
2251 = 22511
Now multiplying the highest exponent prime factors to calculate the LCM of 2246 and 2251.
LCM(2246,2251) = 21×11231×22511
LCM(2246,2251) = 5055746
Factors of 2246
List of positive integer factors of 2246 that divides 2246 without a remainder.
1, 2, 1123, 2246
Factors of 2251
List of positive integer factors of 2251 that divides 2251 without a remainder.
1, 2251
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2246 and 2251, than apply into the LCM equation.
GCF(2246,2251) = 1
LCM(2246,2251) = ( 2246 × 2251) / 1
LCM(2246,2251) = 5055746 / 1
LCM(2246,2251) = 5055746
(i) The LCM of 2251 and 2246 is associative
LCM of 2246 and 2251 = LCM of 2251 and 2246
1. What is the LCM of 2246 and 2251?
Answer: LCM of 2246 and 2251 is 5055746.
2. What are the Factors of 2246?
Answer: Factors of 2246 are 1, 2, 1123, 2246. There are 4 integers that are factors of 2246. The greatest factor of 2246 is 2246.
3. What are the Factors of 2251?
Answer: Factors of 2251 are 1, 2251. There are 2 integers that are factors of 2251. The greatest factor of 2251 is 2251.
4. How to Find the LCM of 2246 and 2251?
Answer:
Least Common Multiple of 2246 and 2251 = 5055746
Step 1: Find the prime factorization of 2246
2246 = 2 x 1123
Step 2: Find the prime factorization of 2251
2251 = 2251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5055746 = 2 x 1123 x 2251
Step 4: Therefore, the least common multiple of 2246 and 2251 is 5055746.