Least Common Multiple of 602 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 602 and 608 the smallest integer that is 183008 that is divisible by both numbers.

Least Common Multiple (LCM) of 602 and 608 is 183008.

LCM(602,608) = 183008

LCM of 602 and 608

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

LCM of:
and

Least Common Multiple of 602 and 608

LCM of 602 and 608 is 183008

Least common multiple can be found by multiplying the highest exponent prime factors of 602 and 608. First we will calculate the prime factors of 602 and 608.

Prime Factorization of 602


2 602
7 301
43 43
1

Prime factors of 602 are 2, 7,43. Prime factorization of 602 in exponential form is:

602 = 21×71×431

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 602 and 608.

LCM(602,608) = 25×71×191×431
LCM(602,608) = 183008

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

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 602 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 602 and 608, than apply into the LCM equation.

GCF(602,608) = 2
LCM(602,608) = ( 602 × 608) / 2
LCM(602,608) = 366016 / 2
LCM(602,608) = 183008

Properties of LCM 602 and 608

(i) The LCM of 608 and 602 is associative

LCM of 602 and 608 = LCM of 608 and 602

Related Least Common Multiples of 602

Related Least Common Multiples of 608

Frequently Asked Questions on LCM of 602 and 608

1. What is the LCM of 602 and 608?

Answer: LCM of 602 and 608 is 183008.

2. What are the Factors of 602?

Answer: Factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602. There are 8 integers that are factors of 602. The greatest factor of 602 is 602.

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 602 and 608?

Answer:

Least Common Multiple of 602 and 608 = 183008

Step 1: Find the prime factorization of 602

602 = 2 x 7 x 43

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 = 183008 = 2 x 2 x 2 x 2 x 2 x 7 x 19 x 43

Step 4: Therefore, the least common multiple of 602 and 608 is 183008.