Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4616 and 4621 the smallest integer that is 21330536 that is divisible by both numbers.
Least Common Multiple (LCM) of 4616 and 4621 is 21330536.
LCM(4616,4621) = 21330536
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 4616 and 4621. First we will calculate the prime factors of 4616 and 4621.
Prime Factorization of 4616
2 | 4616 |
2 | 2308 |
2 | 1154 |
577 | 577 |
1 |
Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:
4616 = 23×5771
Prime Factorization of 4621
4621 | 4621 |
1 |
Prime factors of 4621 are 4621. Prime factorization of 4621 in exponential form is:
4621 = 46211
Now multiplying the highest exponent prime factors to calculate the LCM of 4616 and 4621.
LCM(4616,4621) = 23×5771×46211
LCM(4616,4621) = 21330536
Factors of 4616
List of positive integer factors of 4616 that divides 4616 without a remainder.
1, 2, 4, 8, 577, 1154, 2308, 4616
Factors of 4621
List of positive integer factors of 4621 that divides 4621 without a remainder.
1, 4621
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4616 and 4621, than apply into the LCM equation.
GCF(4616,4621) = 1
LCM(4616,4621) = ( 4616 × 4621) / 1
LCM(4616,4621) = 21330536 / 1
LCM(4616,4621) = 21330536
(i) The LCM of 4621 and 4616 is associative
LCM of 4616 and 4621 = LCM of 4621 and 4616
1. What is the LCM of 4616 and 4621?
Answer: LCM of 4616 and 4621 is 21330536.
2. What are the Factors of 4616?
Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.
3. What are the Factors of 4621?
Answer: Factors of 4621 are 1, 4621. There are 2 integers that are factors of 4621. The greatest factor of 4621 is 4621.
4. How to Find the LCM of 4616 and 4621?
Answer:
Least Common Multiple of 4616 and 4621 = 21330536
Step 1: Find the prime factorization of 4616
4616 = 2 x 2 x 2 x 577
Step 2: Find the prime factorization of 4621
4621 = 4621
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21330536 = 2 x 2 x 2 x 577 x 4621
Step 4: Therefore, the least common multiple of 4616 and 4621 is 21330536.