Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4274 and 4281 the smallest integer that is 18296994 that is divisible by both numbers.
Least Common Multiple (LCM) of 4274 and 4281 is 18296994.
LCM(4274,4281) = 18296994
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 4274 and 4281. First we will calculate the prime factors of 4274 and 4281.
Prime Factorization of 4274
2 | 4274 |
2137 | 2137 |
1 |
Prime factors of 4274 are 2,2137. Prime factorization of 4274 in exponential form is:
4274 = 21×21371
Prime Factorization of 4281
3 | 4281 |
1427 | 1427 |
1 |
Prime factors of 4281 are 3,1427. Prime factorization of 4281 in exponential form is:
4281 = 31×14271
Now multiplying the highest exponent prime factors to calculate the LCM of 4274 and 4281.
LCM(4274,4281) = 21×31×14271×21371
LCM(4274,4281) = 18296994
Factors of 4274
List of positive integer factors of 4274 that divides 4274 without a remainder.
1, 2, 2137, 4274
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1, 3, 1427, 4281
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4274 and 4281, than apply into the LCM equation.
GCF(4274,4281) = 1
LCM(4274,4281) = ( 4274 × 4281) / 1
LCM(4274,4281) = 18296994 / 1
LCM(4274,4281) = 18296994
(i) The LCM of 4281 and 4274 is associative
LCM of 4274 and 4281 = LCM of 4281 and 4274
1. What is the LCM of 4274 and 4281?
Answer: LCM of 4274 and 4281 is 18296994.
2. What are the Factors of 4274?
Answer: Factors of 4274 are 1, 2, 2137, 4274. There are 4 integers that are factors of 4274. The greatest factor of 4274 is 4274.
3. What are the Factors of 4281?
Answer: Factors of 4281 are 1, 3, 1427, 4281. There are 4 integers that are factors of 4281. The greatest factor of 4281 is 4281.
4. How to Find the LCM of 4274 and 4281?
Answer:
Least Common Multiple of 4274 and 4281 = 18296994
Step 1: Find the prime factorization of 4274
4274 = 2 x 2137
Step 2: Find the prime factorization of 4281
4281 = 3 x 1427
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18296994 = 2 x 3 x 1427 x 2137
Step 4: Therefore, the least common multiple of 4274 and 4281 is 18296994.