Least Common Multiple of 601 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 601 and 604 the smallest integer that is 363004 that is divisible by both numbers.

Least Common Multiple (LCM) of 601 and 604 is 363004.

LCM(601,604) = 363004

LCM of 601 and 604

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

LCM of:
and

Least Common Multiple of 601 and 604

LCM of 601 and 604 is 363004

Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 604. First we will calculate the prime factors of 601 and 604.

Prime Factorization of 601


601 601
1

Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:

601 = 6011

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 601 and 604.

LCM(601,604) = 22×1511×6011
LCM(601,604) = 363004

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1, 601

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 601 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 601 and 604, than apply into the LCM equation.

GCF(601,604) = 1
LCM(601,604) = ( 601 × 604) / 1
LCM(601,604) = 363004 / 1
LCM(601,604) = 363004

Properties of LCM 601 and 604

(i) The LCM of 604 and 601 is associative

LCM of 601 and 604 = LCM of 604 and 601

Related Least Common Multiples of 601

Related Least Common Multiples of 604

Frequently Asked Questions on LCM of 601 and 604

1. What is the LCM of 601 and 604?

Answer: LCM of 601 and 604 is 363004.

2. What are the Factors of 601?

Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.

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 601 and 604?

Answer:

Least Common Multiple of 601 and 604 = 363004

Step 1: Find the prime factorization of 601

601 = 601

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 = 363004 = 2 x 2 x 151 x 601

Step 4: Therefore, the least common multiple of 601 and 604 is 363004.