Least Common Multiple of 600 and 602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 600 and 602 the smallest integer that is 180600 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 602 is 180600.

LCM(600,602) = 180600

LCM of 600 and 602

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

LCM of:
and

Least Common Multiple of 600 and 602

LCM of 600 and 602 is 180600

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 602. First we will calculate the prime factors of 600 and 602.

Prime Factorization of 600


2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 600 are 2, 3,5. Prime factorization of 600 in exponential form is:

600 = 23×31×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 602.

LCM(600,602) = 23×31×52×71×431
LCM(600,602) = 180600

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Factors of 602

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

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

Least Common Multiple of 600 and 602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 600 and 602, than apply into the LCM equation.

GCF(600,602) = 2
LCM(600,602) = ( 600 × 602) / 2
LCM(600,602) = 361200 / 2
LCM(600,602) = 180600

Properties of LCM 600 and 602

(i) The LCM of 602 and 600 is associative

LCM of 600 and 602 = LCM of 602 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 602

Frequently Asked Questions on LCM of 600 and 602

1. What is the LCM of 600 and 602?

Answer: LCM of 600 and 602 is 180600.

2. What are the Factors of 600?

Answer: Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. There are 24 integers that are factors of 600. The greatest factor of 600 is 600.

3. 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.

4. How to Find the LCM of 600 and 602?

Answer:

Least Common Multiple of 600 and 602 = 180600

Step 1: Find the prime factorization of 600

600 = 2 x 2 x 2 x 3 x 5 x 5

Step 2: Find the prime factorization of 602

602 = 2 x 7 x 43

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

LCM = 180600 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 43

Step 4: Therefore, the least common multiple of 600 and 602 is 180600.