Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7270 and 7274 the smallest integer that is 26440990 that is divisible by both numbers.
Least Common Multiple (LCM) of 7270 and 7274 is 26440990.
LCM(7270,7274) = 26440990
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 7270 and 7274. First we will calculate the prime factors of 7270 and 7274.
Prime Factorization of 7270
2 | 7270 |
5 | 3635 |
727 | 727 |
1 |
Prime factors of 7270 are 2, 5,727. Prime factorization of 7270 in exponential form is:
7270 = 21×51×7271
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 7270 and 7274.
LCM(7270,7274) = 21×51×7271×36371
LCM(7270,7274) = 26440990
Factors of 7270
List of positive integer factors of 7270 that divides 7270 without a remainder.
1, 2, 5, 10, 727, 1454, 3635, 7270
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 7270 and 7274, than apply into the LCM equation.
GCF(7270,7274) = 2
LCM(7270,7274) = ( 7270 × 7274) / 2
LCM(7270,7274) = 52881980 / 2
LCM(7270,7274) = 26440990
(i) The LCM of 7274 and 7270 is associative
LCM of 7270 and 7274 = LCM of 7274 and 7270
1. What is the LCM of 7270 and 7274?
Answer: LCM of 7270 and 7274 is 26440990.
2. What are the Factors of 7270?
Answer: Factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270. There are 8 integers that are factors of 7270. The greatest factor of 7270 is 7270.
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 7270 and 7274?
Answer:
Least Common Multiple of 7270 and 7274 = 26440990
Step 1: Find the prime factorization of 7270
7270 = 2 x 5 x 727
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 = 26440990 = 2 x 5 x 727 x 3637
Step 4: Therefore, the least common multiple of 7270 and 7274 is 26440990.