Least Common Multiple of 604 and 609

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 609 the smallest integer that is 367836 that is divisible by both numbers.

Least Common Multiple (LCM) of 604 and 609 is 367836.

LCM(604,609) = 367836

LCM of 604 and 609

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

LCM of:
and

Least Common Multiple of 604 and 609

LCM of 604 and 609 is 367836

Least common multiple can be found by multiplying the highest exponent prime factors of 604 and 609. First we will calculate the prime factors of 604 and 609.

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 609


3 609
7 203
29 29
1

Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:

609 = 31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 604 and 609.

LCM(604,609) = 22×31×71×291×1511
LCM(604,609) = 367836

Factors of 604

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

1, 2, 4, 151, 302, 604

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Least Common Multiple of 604 and 609 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 609, than apply into the LCM equation.

GCF(604,609) = 1
LCM(604,609) = ( 604 × 609) / 1
LCM(604,609) = 367836 / 1
LCM(604,609) = 367836

Properties of LCM 604 and 609

(i) The LCM of 609 and 604 is associative

LCM of 604 and 609 = LCM of 609 and 604

Related Least Common Multiples of 604

Related Least Common Multiples of 609

Frequently Asked Questions on LCM of 604 and 609

1. What is the LCM of 604 and 609?

Answer: LCM of 604 and 609 is 367836.

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 609?

Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.

4. How to Find the LCM of 604 and 609?

Answer:

Least Common Multiple of 604 and 609 = 367836

Step 1: Find the prime factorization of 604

604 = 2 x 2 x 151

Step 2: Find the prime factorization of 609

609 = 3 x 7 x 29

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

LCM = 367836 = 2 x 2 x 3 x 7 x 29 x 151

Step 4: Therefore, the least common multiple of 604 and 609 is 367836.