Least Common Multiple of 601 and 603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 601 and 603 the smallest integer that is 362403 that is divisible by both numbers.

Least Common Multiple (LCM) of 601 and 603 is 362403.

LCM(601,603) = 362403

LCM of 601 and 603

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

LCM of:
and

Least Common Multiple of 601 and 603

LCM of 601 and 603 is 362403

Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 603. First we will calculate the prime factors of 601 and 603.

Prime Factorization of 601


601 601
1

Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:

601 = 6011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 601 and 603.

LCM(601,603) = 32×671×6011
LCM(601,603) = 362403

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1, 601

Factors of 603

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

1, 3, 9, 67, 201, 603

Least Common Multiple of 601 and 603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 601 and 603, than apply into the LCM equation.

GCF(601,603) = 1
LCM(601,603) = ( 601 × 603) / 1
LCM(601,603) = 362403 / 1
LCM(601,603) = 362403

Properties of LCM 601 and 603

(i) The LCM of 603 and 601 is associative

LCM of 601 and 603 = LCM of 603 and 601

Related Least Common Multiples of 601

Related Least Common Multiples of 603

Frequently Asked Questions on LCM of 601 and 603

1. What is the LCM of 601 and 603?

Answer: LCM of 601 and 603 is 362403.

2. What are the Factors of 601?

Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.

3. 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.

4. How to Find the LCM of 601 and 603?

Answer:

Least Common Multiple of 601 and 603 = 362403

Step 1: Find the prime factorization of 601

601 = 601

Step 2: Find the prime factorization of 603

603 = 3 x 3 x 67

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

LCM = 362403 = 3 x 3 x 67 x 601

Step 4: Therefore, the least common multiple of 601 and 603 is 362403.