Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 607 and 611 the smallest integer that is 370877 that is divisible by both numbers.
Least Common Multiple (LCM) of 607 and 611 is 370877.
LCM(607,611) = 370877
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 607 and 611. First we will calculate the prime factors of 607 and 611.
Prime Factorization of 607
607 | 607 |
1 |
Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:
607 = 6071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 607 and 611.
LCM(607,611) = 131×471×6071
LCM(607,611) = 370877
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1, 607
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1, 13, 47, 611
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 607 and 611, than apply into the LCM equation.
GCF(607,611) = 1
LCM(607,611) = ( 607 × 611) / 1
LCM(607,611) = 370877 / 1
LCM(607,611) = 370877
(i) The LCM of 611 and 607 is associative
LCM of 607 and 611 = LCM of 611 and 607
1. What is the LCM of 607 and 611?
Answer: LCM of 607 and 611 is 370877.
2. What are the Factors of 607?
Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.
3. 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.
4. How to Find the LCM of 607 and 611?
Answer:
Least Common Multiple of 607 and 611 = 370877
Step 1: Find the prime factorization of 607
607 = 607
Step 2: Find the prime factorization of 611
611 = 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 370877 = 13 x 47 x 607
Step 4: Therefore, the least common multiple of 607 and 611 is 370877.