Least Common Multiple of 603 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 603 and 607 the smallest integer that is 366021 that is divisible by both numbers.

Least Common Multiple (LCM) of 603 and 607 is 366021.

LCM(603,607) = 366021

LCM of 603 and 607

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

LCM of:
and

Least Common Multiple of 603 and 607

LCM of 603 and 607 is 366021

Least common multiple can be found by multiplying the highest exponent prime factors of 603 and 607. First we will calculate the prime factors of 603 and 607.

Prime Factorization of 603


3 603
3 201
67 67
1

Prime factors of 603 are 3,67. Prime factorization of 603 in exponential form is:

603 = 32×671

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 603 and 607.

LCM(603,607) = 32×671×6071
LCM(603,607) = 366021

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Factors of 607

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

1, 607

Least Common Multiple of 603 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 603 and 607, than apply into the LCM equation.

GCF(603,607) = 1
LCM(603,607) = ( 603 × 607) / 1
LCM(603,607) = 366021 / 1
LCM(603,607) = 366021

Properties of LCM 603 and 607

(i) The LCM of 607 and 603 is associative

LCM of 603 and 607 = LCM of 607 and 603

Related Least Common Multiples of 603

Related Least Common Multiples of 607

Frequently Asked Questions on LCM of 603 and 607

1. What is the LCM of 603 and 607?

Answer: LCM of 603 and 607 is 366021.

2. What are the Factors of 603?

Answer: Factors of 603 are 1, 3, 9, 67, 201, 603. There are 6 integers that are factors of 603. The greatest factor of 603 is 603.

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 603 and 607?

Answer:

Least Common Multiple of 603 and 607 = 366021

Step 1: Find the prime factorization of 603

603 = 3 x 3 x 67

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 = 366021 = 3 x 3 x 67 x 607

Step 4: Therefore, the least common multiple of 603 and 607 is 366021.