Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 616 and 619 the smallest integer that is 381304 that is divisible by both numbers.
Least Common Multiple (LCM) of 616 and 619 is 381304.
LCM(616,619) = 381304
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 616 and 619. First we will calculate the prime factors of 616 and 619.
Prime Factorization of 616
2 | 616 |
2 | 308 |
2 | 154 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:
616 = 23×71×111
Prime Factorization of 619
619 | 619 |
1 |
Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:
619 = 6191
Now multiplying the highest exponent prime factors to calculate the LCM of 616 and 619.
LCM(616,619) = 23×71×111×6191
LCM(616,619) = 381304
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1, 619
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 616 and 619, than apply into the LCM equation.
GCF(616,619) = 1
LCM(616,619) = ( 616 × 619) / 1
LCM(616,619) = 381304 / 1
LCM(616,619) = 381304
(i) The LCM of 619 and 616 is associative
LCM of 616 and 619 = LCM of 619 and 616
1. What is the LCM of 616 and 619?
Answer: LCM of 616 and 619 is 381304.
2. What are the Factors of 616?
Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.
3. What are the Factors of 619?
Answer: Factors of 619 are 1, 619. There are 2 integers that are factors of 619. The greatest factor of 619 is 619.
4. How to Find the LCM of 616 and 619?
Answer:
Least Common Multiple of 616 and 619 = 381304
Step 1: Find the prime factorization of 616
616 = 2 x 2 x 2 x 7 x 11
Step 2: Find the prime factorization of 619
619 = 619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 381304 = 2 x 2 x 2 x 7 x 11 x 619
Step 4: Therefore, the least common multiple of 616 and 619 is 381304.