Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 611 and 619 the smallest integer that is 378209 that is divisible by both numbers.
Least Common Multiple (LCM) of 611 and 619 is 378209.
LCM(611,619) = 378209
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 611 and 619. First we will calculate the prime factors of 611 and 619.
Prime Factorization of 611
13 | 611 |
47 | 47 |
1 |
Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:
611 = 131×471
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 611 and 619.
LCM(611,619) = 131×471×6191
LCM(611,619) = 378209
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1, 13, 47, 611
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 611 and 619, than apply into the LCM equation.
GCF(611,619) = 1
LCM(611,619) = ( 611 × 619) / 1
LCM(611,619) = 378209 / 1
LCM(611,619) = 378209
(i) The LCM of 619 and 611 is associative
LCM of 611 and 619 = LCM of 619 and 611
1. What is the LCM of 611 and 619?
Answer: LCM of 611 and 619 is 378209.
2. What are the Factors of 611?
Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.
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 611 and 619?
Answer:
Least Common Multiple of 611 and 619 = 378209
Step 1: Find the prime factorization of 611
611 = 13 x 47
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 = 378209 = 13 x 47 x 619
Step 4: Therefore, the least common multiple of 611 and 619 is 378209.