Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1614 and 1619 the smallest integer that is 2613066 that is divisible by both numbers.
Least Common Multiple (LCM) of 1614 and 1619 is 2613066.
LCM(1614,1619) = 2613066
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 1614 and 1619. First we will calculate the prime factors of 1614 and 1619.
Prime Factorization of 1614
2 | 1614 |
3 | 807 |
269 | 269 |
1 |
Prime factors of 1614 are 2, 3,269. Prime factorization of 1614 in exponential form is:
1614 = 21×31×2691
Prime Factorization of 1619
1619 | 1619 |
1 |
Prime factors of 1619 are 1619. Prime factorization of 1619 in exponential form is:
1619 = 16191
Now multiplying the highest exponent prime factors to calculate the LCM of 1614 and 1619.
LCM(1614,1619) = 21×31×2691×16191
LCM(1614,1619) = 2613066
Factors of 1614
List of positive integer factors of 1614 that divides 1614 without a remainder.
1, 2, 3, 6, 269, 538, 807, 1614
Factors of 1619
List of positive integer factors of 1619 that divides 1619 without a remainder.
1, 1619
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1614 and 1619, than apply into the LCM equation.
GCF(1614,1619) = 1
LCM(1614,1619) = ( 1614 × 1619) / 1
LCM(1614,1619) = 2613066 / 1
LCM(1614,1619) = 2613066
(i) The LCM of 1619 and 1614 is associative
LCM of 1614 and 1619 = LCM of 1619 and 1614
1. What is the LCM of 1614 and 1619?
Answer: LCM of 1614 and 1619 is 2613066.
2. What are the Factors of 1614?
Answer: Factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614. There are 8 integers that are factors of 1614. The greatest factor of 1614 is 1614.
3. What are the Factors of 1619?
Answer: Factors of 1619 are 1, 1619. There are 2 integers that are factors of 1619. The greatest factor of 1619 is 1619.
4. How to Find the LCM of 1614 and 1619?
Answer:
Least Common Multiple of 1614 and 1619 = 2613066
Step 1: Find the prime factorization of 1614
1614 = 2 x 3 x 269
Step 2: Find the prime factorization of 1619
1619 = 1619
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2613066 = 2 x 3 x 269 x 1619
Step 4: Therefore, the least common multiple of 1614 and 1619 is 2613066.