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 4620 the smallest integer that is 5331480 that is divisible by both numbers.
Least Common Multiple (LCM) of 4616 and 4620 is 5331480.
LCM(4616,4620) = 5331480
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 4620. First we will calculate the prime factors of 4616 and 4620.
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 4620
2 | 4620 |
2 | 2310 |
3 | 1155 |
5 | 385 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 4620 are 2, 3, 5, 7,11. Prime factorization of 4620 in exponential form is:
4620 = 22×31×51×71×111
Now multiplying the highest exponent prime factors to calculate the LCM of 4616 and 4620.
LCM(4616,4620) = 23×31×51×71×111×5771
LCM(4616,4620) = 5331480
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 4620
List of positive integer factors of 4620 that divides 4620 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4616 and 4620, than apply into the LCM equation.
GCF(4616,4620) = 4
LCM(4616,4620) = ( 4616 × 4620) / 4
LCM(4616,4620) = 21325920 / 4
LCM(4616,4620) = 5331480
(i) The LCM of 4620 and 4616 is associative
LCM of 4616 and 4620 = LCM of 4620 and 4616
1. What is the LCM of 4616 and 4620?
Answer: LCM of 4616 and 4620 is 5331480.
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 4620?
Answer: Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620. There are 48 integers that are factors of 4620. The greatest factor of 4620 is 4620.
4. How to Find the LCM of 4616 and 4620?
Answer:
Least Common Multiple of 4616 and 4620 = 5331480
Step 1: Find the prime factorization of 4616
4616 = 2 x 2 x 2 x 577
Step 2: Find the prime factorization of 4620
4620 = 2 x 2 x 3 x 5 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5331480 = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 577
Step 4: Therefore, the least common multiple of 4616 and 4620 is 5331480.