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 604 the smallest integer that is 364212 that is divisible by both numbers.
Least Common Multiple (LCM) of 603 and 604 is 364212.
LCM(603,604) = 364212
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 603 and 604. First we will calculate the prime factors of 603 and 604.
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 604
2 | 604 |
2 | 302 |
151 | 151 |
1 |
Prime factors of 604 are 2,151. Prime factorization of 604 in exponential form is:
604 = 22×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 603 and 604.
LCM(603,604) = 22×32×671×1511
LCM(603,604) = 364212
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 603 and 604, than apply into the LCM equation.
GCF(603,604) = 1
LCM(603,604) = ( 603 × 604) / 1
LCM(603,604) = 364212 / 1
LCM(603,604) = 364212
(i) The LCM of 604 and 603 is associative
LCM of 603 and 604 = LCM of 604 and 603
1. What is the LCM of 603 and 604?
Answer: LCM of 603 and 604 is 364212.
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 604?
Answer: Factors of 604 are 1, 2, 4, 151, 302, 604. There are 6 integers that are factors of 604. The greatest factor of 604 is 604.
4. How to Find the LCM of 603 and 604?
Answer:
Least Common Multiple of 603 and 604 = 364212
Step 1: Find the prime factorization of 603
603 = 3 x 3 x 67
Step 2: Find the prime factorization of 604
604 = 2 x 2 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 364212 = 2 x 2 x 3 x 3 x 67 x 151
Step 4: Therefore, the least common multiple of 603 and 604 is 364212.