Least Common Multiple of 604 and 608

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 608 the smallest integer that is 91808 that is divisible by both numbers.

Least Common Multiple (LCM) of 604 and 608 is 91808.

LCM(604,608) = 91808

LCM of 604 and 608

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

LCM of:
and

Least Common Multiple of 604 and 608

LCM of 604 and 608 is 91808

Least common multiple can be found by multiplying the highest exponent prime factors of 604 and 608. First we will calculate the prime factors of 604 and 608.

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 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

Now multiplying the highest exponent prime factors to calculate the LCM of 604 and 608.

LCM(604,608) = 25×191×1511
LCM(604,608) = 91808

Factors of 604

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

1, 2, 4, 151, 302, 604

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Least Common Multiple of 604 and 608 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 608, than apply into the LCM equation.

GCF(604,608) = 4
LCM(604,608) = ( 604 × 608) / 4
LCM(604,608) = 367232 / 4
LCM(604,608) = 91808

Properties of LCM 604 and 608

(i) The LCM of 608 and 604 is associative

LCM of 604 and 608 = LCM of 608 and 604

Related Least Common Multiples of 604

Related Least Common Multiples of 608

Frequently Asked Questions on LCM of 604 and 608

1. What is the LCM of 604 and 608?

Answer: LCM of 604 and 608 is 91808.

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 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

4. How to Find the LCM of 604 and 608?

Answer:

Least Common Multiple of 604 and 608 = 91808

Step 1: Find the prime factorization of 604

604 = 2 x 2 x 151

Step 2: Find the prime factorization of 608

608 = 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 91808 = 2 x 2 x 2 x 2 x 2 x 19 x 151

Step 4: Therefore, the least common multiple of 604 and 608 is 91808.