Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7269 and 7274 the smallest integer that is 52874706 that is divisible by both numbers.
Least Common Multiple (LCM) of 7269 and 7274 is 52874706.
LCM(7269,7274) = 52874706
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 7269 and 7274. First we will calculate the prime factors of 7269 and 7274.
Prime Factorization of 7269
3 | 7269 |
2423 | 2423 |
1 |
Prime factors of 7269 are 3,2423. Prime factorization of 7269 in exponential form is:
7269 = 31×24231
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 7269 and 7274.
LCM(7269,7274) = 21×31×24231×36371
LCM(7269,7274) = 52874706
Factors of 7269
List of positive integer factors of 7269 that divides 7269 without a remainder.
1, 3, 2423, 7269
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 7269 and 7274, than apply into the LCM equation.
GCF(7269,7274) = 1
LCM(7269,7274) = ( 7269 × 7274) / 1
LCM(7269,7274) = 52874706 / 1
LCM(7269,7274) = 52874706
(i) The LCM of 7274 and 7269 is associative
LCM of 7269 and 7274 = LCM of 7274 and 7269
1. What is the LCM of 7269 and 7274?
Answer: LCM of 7269 and 7274 is 52874706.
2. What are the Factors of 7269?
Answer: Factors of 7269 are 1, 3, 2423, 7269. There are 4 integers that are factors of 7269. The greatest factor of 7269 is 7269.
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 7269 and 7274?
Answer:
Least Common Multiple of 7269 and 7274 = 52874706
Step 1: Find the prime factorization of 7269
7269 = 3 x 2423
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 = 52874706 = 2 x 3 x 2423 x 3637
Step 4: Therefore, the least common multiple of 7269 and 7274 is 52874706.