Least Common Multiple of 600 and 607

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 607 the smallest integer that is 364200 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 607 is 364200.

LCM(600,607) = 364200

LCM of 600 and 607

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

LCM of:
and

Least Common Multiple of 600 and 607

LCM of 600 and 607 is 364200

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 607. First we will calculate the prime factors of 600 and 607.

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 607


607 607
1

Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:

607 = 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 600 and 607.

LCM(600,607) = 23×31×52×6071
LCM(600,607) = 364200

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 607

List of positive integer factors of 607 that divides 607 without a remainder.

1, 607

Least Common Multiple of 600 and 607 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 607, than apply into the LCM equation.

GCF(600,607) = 1
LCM(600,607) = ( 600 × 607) / 1
LCM(600,607) = 364200 / 1
LCM(600,607) = 364200

Properties of LCM 600 and 607

(i) The LCM of 607 and 600 is associative

LCM of 600 and 607 = LCM of 607 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 607

Frequently Asked Questions on LCM of 600 and 607

1. What is the LCM of 600 and 607?

Answer: LCM of 600 and 607 is 364200.

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 607?

Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.

4. How to Find the LCM of 600 and 607?

Answer:

Least Common Multiple of 600 and 607 = 364200

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 607

607 = 607

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

LCM = 364200 = 2 x 2 x 2 x 3 x 5 x 5 x 607

Step 4: Therefore, the least common multiple of 600 and 607 is 364200.