Least Common Multiple of 603 and 611
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 603 and 611 the smallest integer that is 368433 that is divisible by both numbers.
Least Common Multiple (LCM) of 603 and 611 is 368433.
LCM(603,611) = 368433
LCM of 603 and 611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 603 and 611 by Prime method
- Least Common Multiple of 603 and 611 with GCF Formula
LCM of 603 and 611 is 368433
Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 611. First we will calculate the prime factors of 603 and 611.
Prime Factorization of 603
| 3 | 603 |
| 3 | 201 |
| 67 | 67 |
| 1 |
Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:
603 = 32×671
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 603 and 611.
LCM(603,611) = 32×131×471×671
LCM(603,611) = 368433
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Least Common Multiple of 603 and 611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 603 and 611, than apply into the LCM equation.
GCF(603,611) = 1
LCM(603,611) = ( 603 × 611) / 1
LCM(603,611) = 368433 / 1
LCM(603,611) = 368433
Properties of LCM 603 and 611
(i) The LCM of 611 and 603 is associative
LCM of 603 and 611 = LCM of 611 and 603
Related Least Common Multiples of 603
Related Least Common Multiples of 611
Frequently Asked Questions on LCM of 603 and 611
1. What is the LCM of 603 and 611?
Answer: LCM of 603 and 611 is 368433.
2. What are the Factors of 603?
Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.
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 603 and 611?
Answer:
Least Common Multiple of 603 and 611 = 368433
Step 1: Find the prime factorization of 603
603 = 3 x 3 x 67
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 = 368433 = 3 x 3 x 13 x 47 x 67
Step 4: Therefore, the least common multiple of 603 and 611 is 368433.
