Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 619 and 620 the smallest integer that is 383780 that is divisible by both numbers.
Least Common Multiple (LCM) of 619 and 620 is 383780.
LCM(619,620) = 383780
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 619 and 620. First we will calculate the prime factors of 619 and 620.
Prime Factorization of 619
619 | 619 |
1 |
Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:
619 = 6191
Prime Factorization of 620
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:
620 = 22×51×311
Now multiplying the highest exponent prime factors to calculate the LCM of 619 and 620.
LCM(619,620) = 22×51×311×6191
LCM(619,620) = 383780
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1, 619
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 619 and 620, than apply into the LCM equation.
GCF(619,620) = 1
LCM(619,620) = ( 619 × 620) / 1
LCM(619,620) = 383780 / 1
LCM(619,620) = 383780
(i) The LCM of 620 and 619 is associative
LCM of 619 and 620 = LCM of 620 and 619
1. What is the LCM of 619 and 620?
Answer: LCM of 619 and 620 is 383780.
2. 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.
3. What are the Factors of 620?
Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.
4. How to Find the LCM of 619 and 620?
Answer:
Least Common Multiple of 619 and 620 = 383780
Step 1: Find the prime factorization of 619
619 = 619
Step 2: Find the prime factorization of 620
620 = 2 x 2 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 383780 = 2 x 2 x 5 x 31 x 619
Step 4: Therefore, the least common multiple of 619 and 620 is 383780.