Least Common Multiple of 597 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 597 and 604 the smallest integer that is 360588 that is divisible by both numbers.

Least Common Multiple (LCM) of 597 and 604 is 360588.

LCM(597,604) = 360588

LCM of 597 and 604

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

LCM of:
and

Least Common Multiple of 597 and 604

LCM of 597 and 604 is 360588

Least common multiple can be found by multiplying the highest exponent prime factors of 597 and 604. First we will calculate the prime factors of 597 and 604.

Prime Factorization of 597


3 597
199 199
1

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 31×1991

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 597 and 604.

LCM(597,604) = 22×31×1511×1991
LCM(597,604) = 360588

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1, 3, 199, 597

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 597 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 597 and 604, than apply into the LCM equation.

GCF(597,604) = 1
LCM(597,604) = ( 597 × 604) / 1
LCM(597,604) = 360588 / 1
LCM(597,604) = 360588

Properties of LCM 597 and 604

(i) The LCM of 604 and 597 is associative

LCM of 597 and 604 = LCM of 604 and 597

Related Least Common Multiples of 597

Related Least Common Multiples of 604

Frequently Asked Questions on LCM of 597 and 604

1. What is the LCM of 597 and 604?

Answer: LCM of 597 and 604 is 360588.

2. What are the Factors of 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

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 597 and 604?

Answer:

Least Common Multiple of 597 and 604 = 360588

Step 1: Find the prime factorization of 597

597 = 3 x 199

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 = 360588 = 2 x 2 x 3 x 151 x 199

Step 4: Therefore, the least common multiple of 597 and 604 is 360588.