Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7271 and 7274 the smallest integer that is 52889254 that is divisible by both numbers.
Least Common Multiple (LCM) of 7271 and 7274 is 52889254.
LCM(7271,7274) = 52889254
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 7271 and 7274. First we will calculate the prime factors of 7271 and 7274.
Prime Factorization of 7271
11 | 7271 |
661 | 661 |
1 |
Prime factors of 7271 are 11,661. Prime factorization of 7271 in exponential form is:
7271 = 111×6611
Prime Factorization of 7274
2 | 7274 |
3637 | 3637 |
1 |
Prime factors of 7274 are 2,3637. Prime factorization of 7274 in exponential form is:
7274 = 21×36371
Now multiplying the highest exponent prime factors to calculate the LCM of 7271 and 7274.
LCM(7271,7274) = 21×111×6611×36371
LCM(7271,7274) = 52889254
Factors of 7271
List of positive integer factors of 7271 that divides 7271 without a remainder.
1, 11, 661, 7271
Factors of 7274
List of positive integer factors of 7274 that divides 7274 without a remainder.
1, 2, 3637, 7274
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7271 and 7274, than apply into the LCM equation.
GCF(7271,7274) = 1
LCM(7271,7274) = ( 7271 × 7274) / 1
LCM(7271,7274) = 52889254 / 1
LCM(7271,7274) = 52889254
(i) The LCM of 7274 and 7271 is associative
LCM of 7271 and 7274 = LCM of 7274 and 7271
1. What is the LCM of 7271 and 7274?
Answer: LCM of 7271 and 7274 is 52889254.
2. What are the Factors of 7271?
Answer: Factors of 7271 are 1, 11, 661, 7271. There are 4 integers that are factors of 7271. The greatest factor of 7271 is 7271.
3. What are the Factors of 7274?
Answer: Factors of 7274 are 1, 2, 3637, 7274. There are 4 integers that are factors of 7274. The greatest factor of 7274 is 7274.
4. How to Find the LCM of 7271 and 7274?
Answer:
Least Common Multiple of 7271 and 7274 = 52889254
Step 1: Find the prime factorization of 7271
7271 = 11 x 661
Step 2: Find the prime factorization of 7274
7274 = 2 x 3637
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52889254 = 2 x 11 x 661 x 3637
Step 4: Therefore, the least common multiple of 7271 and 7274 is 52889254.