Least Common Multiple of 599 and 604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 599 and 604 the smallest integer that is 361796 that is divisible by both numbers.

Least Common Multiple (LCM) of 599 and 604 is 361796.

LCM(599,604) = 361796

LCM of 599 and 604

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 599 and 604

LCM of 599 and 604 is 361796

Least common multiple can be found by multiplying the highest exponent prime factors of 599 and 604. First we will calculate the prime factors of 599 and 604.

Prime Factorization of 599


599 599
1

Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:

599 = 5991

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 599 and 604.

LCM(599,604) = 22×1511×5991
LCM(599,604) = 361796

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1, 599

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Least Common Multiple of 599 and 604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 599 and 604, than apply into the LCM equation.

GCF(599,604) = 1
LCM(599,604) = ( 599 × 604) / 1
LCM(599,604) = 361796 / 1
LCM(599,604) = 361796

Properties of LCM 599 and 604

(i) The LCM of 604 and 599 is associative

LCM of 599 and 604 = LCM of 604 and 599

Related Least Common Multiples of 599

Related Least Common Multiples of 604

Frequently Asked Questions on LCM of 599 and 604

1. What is the LCM of 599 and 604?

Answer: LCM of 599 and 604 is 361796.

2. What are the Factors of 599?

Answer: Factors of 599 are 1, 599. There are 2 integers that are factors of 599. The greatest factor of 599 is 599.

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 599 and 604?

Answer:

Least Common Multiple of 599 and 604 = 361796

Step 1: Find the prime factorization of 599

599 = 599

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 = 361796 = 2 x 2 x 151 x 599

Step 4: Therefore, the least common multiple of 599 and 604 is 361796.