Least Common Multiple of 601 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 601 and 606 the smallest integer that is 364206 that is divisible by both numbers.

Least Common Multiple (LCM) of 601 and 606 is 364206.

LCM(601,606) = 364206

LCM of 601 and 606

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

LCM of:
and

Least Common Multiple of 601 and 606

LCM of 601 and 606 is 364206

Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 606. First we will calculate the prime factors of 601 and 606.

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 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 601 and 606.

LCM(601,606) = 21×31×1011×6011
LCM(601,606) = 364206

Factors of 601

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

1, 601

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 601 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 601 and 606, than apply into the LCM equation.

GCF(601,606) = 1
LCM(601,606) = ( 601 × 606) / 1
LCM(601,606) = 364206 / 1
LCM(601,606) = 364206

Properties of LCM 601 and 606

(i) The LCM of 606 and 601 is associative

LCM of 601 and 606 = LCM of 606 and 601

Related Least Common Multiples of 601

Related Least Common Multiples of 606

Frequently Asked Questions on LCM of 601 and 606

1. What is the LCM of 601 and 606?

Answer: LCM of 601 and 606 is 364206.

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 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 601 and 606?

Answer:

Least Common Multiple of 601 and 606 = 364206

Step 1: Find the prime factorization of 601

601 = 601

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 = 364206 = 2 x 3 x 101 x 601

Step 4: Therefore, the least common multiple of 601 and 606 is 364206.