Least Common Multiple of 600 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 600 and 606 the smallest integer that is 60600 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 606 is 60600.

LCM(600,606) = 60600

LCM of 600 and 606

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

LCM of:
and

Least Common Multiple of 600 and 606

LCM of 600 and 606 is 60600

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 606. First we will calculate the prime factors of 600 and 606.

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 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 600 and 606.

LCM(600,606) = 23×31×52×1011
LCM(600,606) = 60600

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 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 600 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 600 and 606, than apply into the LCM equation.

GCF(600,606) = 6
LCM(600,606) = ( 600 × 606) / 6
LCM(600,606) = 363600 / 6
LCM(600,606) = 60600

Properties of LCM 600 and 606

(i) The LCM of 606 and 600 is associative

LCM of 600 and 606 = LCM of 606 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 606

Frequently Asked Questions on LCM of 600 and 606

1. What is the LCM of 600 and 606?

Answer: LCM of 600 and 606 is 60600.

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 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 600 and 606?

Answer:

Least Common Multiple of 600 and 606 = 60600

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 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 = 60600 = 2 x 2 x 2 x 3 x 5 x 5 x 101

Step 4: Therefore, the least common multiple of 600 and 606 is 60600.