Least Common Multiple of 604 and 606

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 606 the smallest integer that is 183012 that is divisible by both numbers.

Least Common Multiple (LCM) of 604 and 606 is 183012.

LCM(604,606) = 183012

LCM of 604 and 606

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

LCM of:
and

Least Common Multiple of 604 and 606

LCM of 604 and 606 is 183012

Least common multiple can be found by multiplying the highest exponent prime factors of 604 and 606. First we will calculate the prime factors of 604 and 606.

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 606


2 606
3 303
101 101
1

Prime factors of 606 are 2, 3,101. Prime factorization of 606 in exponential form is:

606 = 21×31×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 604 and 606.

LCM(604,606) = 22×31×1011×1511
LCM(604,606) = 183012

Factors of 604

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

1, 2, 4, 151, 302, 604

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Least Common Multiple of 604 and 606 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 606, than apply into the LCM equation.

GCF(604,606) = 2
LCM(604,606) = ( 604 × 606) / 2
LCM(604,606) = 366024 / 2
LCM(604,606) = 183012

Properties of LCM 604 and 606

(i) The LCM of 606 and 604 is associative

LCM of 604 and 606 = LCM of 606 and 604

Related Least Common Multiples of 604

Related Least Common Multiples of 606

Frequently Asked Questions on LCM of 604 and 606

1. What is the LCM of 604 and 606?

Answer: LCM of 604 and 606 is 183012.

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 606?

Answer: Factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606. There are 8 integers that are factors of 606. The greatest factor of 606 is 606.

4. How to Find the LCM of 604 and 606?

Answer:

Least Common Multiple of 604 and 606 = 183012

Step 1: Find the prime factorization of 604

604 = 2 x 2 x 151

Step 2: Find the prime factorization of 606

606 = 2 x 3 x 101

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

LCM = 183012 = 2 x 2 x 3 x 101 x 151

Step 4: Therefore, the least common multiple of 604 and 606 is 183012.