Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7277 and 7284 the smallest integer that is 53005668 that is divisible by both numbers.
Least Common Multiple (LCM) of 7277 and 7284 is 53005668.
LCM(7277,7284) = 53005668
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 7277 and 7284. First we will calculate the prime factors of 7277 and 7284.
Prime Factorization of 7277
19 | 7277 |
383 | 383 |
1 |
Prime factors of 7277 are 19,383. Prime factorization of 7277 in exponential form is:
7277 = 191×3831
Prime Factorization of 7284
2 | 7284 |
2 | 3642 |
3 | 1821 |
607 | 607 |
1 |
Prime factors of 7284 are 2, 3,607. Prime factorization of 7284 in exponential form is:
7284 = 22×31×6071
Now multiplying the highest exponent prime factors to calculate the LCM of 7277 and 7284.
LCM(7277,7284) = 22×31×191×3831×6071
LCM(7277,7284) = 53005668
Factors of 7277
List of positive integer factors of 7277 that divides 7277 without a remainder.
1, 19, 383, 7277
Factors of 7284
List of positive integer factors of 7284 that divides 7284 without a remainder.
1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7277 and 7284, than apply into the LCM equation.
GCF(7277,7284) = 1
LCM(7277,7284) = ( 7277 × 7284) / 1
LCM(7277,7284) = 53005668 / 1
LCM(7277,7284) = 53005668
(i) The LCM of 7284 and 7277 is associative
LCM of 7277 and 7284 = LCM of 7284 and 7277
1. What is the LCM of 7277 and 7284?
Answer: LCM of 7277 and 7284 is 53005668.
2. What are the Factors of 7277?
Answer: Factors of 7277 are 1, 19, 383, 7277. There are 4 integers that are factors of 7277. The greatest factor of 7277 is 7277.
3. What are the Factors of 7284?
Answer: Factors of 7284 are 1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284. There are 12 integers that are factors of 7284. The greatest factor of 7284 is 7284.
4. How to Find the LCM of 7277 and 7284?
Answer:
Least Common Multiple of 7277 and 7284 = 53005668
Step 1: Find the prime factorization of 7277
7277 = 19 x 383
Step 2: Find the prime factorization of 7284
7284 = 2 x 2 x 3 x 607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53005668 = 2 x 2 x 3 x 19 x 383 x 607
Step 4: Therefore, the least common multiple of 7277 and 7284 is 53005668.