Least Common Multiple of 604 and 605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 604 and 605 the smallest integer that is 365420 that is divisible by both numbers.

Least Common Multiple (LCM) of 604 and 605 is 365420.

LCM(604,605) = 365420

LCM of 604 and 605

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

LCM of:
and

Least Common Multiple of 604 and 605

LCM of 604 and 605 is 365420

Least common multiple can be found by multiplying the highest exponent prime factors of 604 and 605. First we will calculate the prime factors of 604 and 605.

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

Prime Factorization of 605


5 605
11 121
11 11
1

Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:

605 = 51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 604 and 605.

LCM(604,605) = 22×51×112×1511
LCM(604,605) = 365420

Factors of 604

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

1, 2, 4, 151, 302, 604

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Least Common Multiple of 604 and 605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 604 and 605, than apply into the LCM equation.

GCF(604,605) = 1
LCM(604,605) = ( 604 × 605) / 1
LCM(604,605) = 365420 / 1
LCM(604,605) = 365420

Properties of LCM 604 and 605

(i) The LCM of 605 and 604 is associative

LCM of 604 and 605 = LCM of 605 and 604

Related Least Common Multiples of 604

Related Least Common Multiples of 605

Frequently Asked Questions on LCM of 604 and 605

1. What is the LCM of 604 and 605?

Answer: LCM of 604 and 605 is 365420.

2. 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.

3. What are the Factors of 605?

Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.

4. How to Find the LCM of 604 and 605?

Answer:

Least Common Multiple of 604 and 605 = 365420

Step 1: Find the prime factorization of 604

604 = 2 x 2 x 151

Step 2: Find the prime factorization of 605

605 = 5 x 11 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 365420 = 2 x 2 x 5 x 11 x 11 x 151

Step 4: Therefore, the least common multiple of 604 and 605 is 365420.