Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7615 and 7621 the smallest integer that is 58033915 that is divisible by both numbers.
Least Common Multiple (LCM) of 7615 and 7621 is 58033915.
LCM(7615,7621) = 58033915
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 7615 and 7621. First we will calculate the prime factors of 7615 and 7621.
Prime Factorization of 7615
5 | 7615 |
1523 | 1523 |
1 |
Prime factors of 7615 are 5,1523. Prime factorization of 7615 in exponential form is:
7615 = 51×15231
Prime Factorization of 7621
7621 | 7621 |
1 |
Prime factors of 7621 are 7621. Prime factorization of 7621 in exponential form is:
7621 = 76211
Now multiplying the highest exponent prime factors to calculate the LCM of 7615 and 7621.
LCM(7615,7621) = 51×15231×76211
LCM(7615,7621) = 58033915
Factors of 7615
List of positive integer factors of 7615 that divides 7615 without a remainder.
1, 5, 1523, 7615
Factors of 7621
List of positive integer factors of 7621 that divides 7621 without a remainder.
1, 7621
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7615 and 7621, than apply into the LCM equation.
GCF(7615,7621) = 1
LCM(7615,7621) = ( 7615 × 7621) / 1
LCM(7615,7621) = 58033915 / 1
LCM(7615,7621) = 58033915
(i) The LCM of 7621 and 7615 is associative
LCM of 7615 and 7621 = LCM of 7621 and 7615
1. What is the LCM of 7615 and 7621?
Answer: LCM of 7615 and 7621 is 58033915.
2. What are the Factors of 7615?
Answer: Factors of 7615 are 1, 5, 1523, 7615. There are 4 integers that are factors of 7615. The greatest factor of 7615 is 7615.
3. What are the Factors of 7621?
Answer: Factors of 7621 are 1, 7621. There are 2 integers that are factors of 7621. The greatest factor of 7621 is 7621.
4. How to Find the LCM of 7615 and 7621?
Answer:
Least Common Multiple of 7615 and 7621 = 58033915
Step 1: Find the prime factorization of 7615
7615 = 5 x 1523
Step 2: Find the prime factorization of 7621
7621 = 7621
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58033915 = 5 x 1523 x 7621
Step 4: Therefore, the least common multiple of 7615 and 7621 is 58033915.