Least Common Multiple of 599 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 599 and 607 the smallest integer that is 363593 that is divisible by both numbers.

Least Common Multiple (LCM) of 599 and 607 is 363593.

LCM(599,607) = 363593

LCM of 599 and 607

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

LCM of:
and

Least Common Multiple of 599 and 607

LCM of 599 and 607 is 363593

Least common multiple can be found by multiplying the highest exponent prime factors of 599 and 607. First we will calculate the prime factors of 599 and 607.

Prime Factorization of 599


599 599
1

Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:

599 = 5991

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 599 and 607.

LCM(599,607) = 5991×6071
LCM(599,607) = 363593

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1, 599

Factors of 607

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

1, 607

Least Common Multiple of 599 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 599 and 607, than apply into the LCM equation.

GCF(599,607) = 1
LCM(599,607) = ( 599 × 607) / 1
LCM(599,607) = 363593 / 1
LCM(599,607) = 363593

Properties of LCM 599 and 607

(i) The LCM of 607 and 599 is associative

LCM of 599 and 607 = LCM of 607 and 599

Related Least Common Multiples of 599

Related Least Common Multiples of 607

Frequently Asked Questions on LCM of 599 and 607

1. What is the LCM of 599 and 607?

Answer: LCM of 599 and 607 is 363593.

2. What are the Factors of 599?

Answer: Factors of 599 are 1, 599. There are 2 integers that are factors of 599. The greatest factor of 599 is 599.

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 599 and 607?

Answer:

Least Common Multiple of 599 and 607 = 363593

Step 1: Find the prime factorization of 599

599 = 599

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 = 363593 = 599 x 607

Step 4: Therefore, the least common multiple of 599 and 607 is 363593.