Least Common Multiple of 601 and 609

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 609 the smallest integer that is 366009 that is divisible by both numbers.

Least Common Multiple (LCM) of 601 and 609 is 366009.

LCM(601,609) = 366009

LCM of 601 and 609

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

LCM of:
and

Least Common Multiple of 601 and 609

LCM of 601 and 609 is 366009

Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 609. First we will calculate the prime factors of 601 and 609.

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 609


3 609
7 203
29 29
1

Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:

609 = 31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 601 and 609.

LCM(601,609) = 31×71×291×6011
LCM(601,609) = 366009

Factors of 601

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

1, 601

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Least Common Multiple of 601 and 609 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 609, than apply into the LCM equation.

GCF(601,609) = 1
LCM(601,609) = ( 601 × 609) / 1
LCM(601,609) = 366009 / 1
LCM(601,609) = 366009

Properties of LCM 601 and 609

(i) The LCM of 609 and 601 is associative

LCM of 601 and 609 = LCM of 609 and 601

Related Least Common Multiples of 601

Related Least Common Multiples of 609

Frequently Asked Questions on LCM of 601 and 609

1. What is the LCM of 601 and 609?

Answer: LCM of 601 and 609 is 366009.

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 609?

Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.

4. How to Find the LCM of 601 and 609?

Answer:

Least Common Multiple of 601 and 609 = 366009

Step 1: Find the prime factorization of 601

601 = 601

Step 2: Find the prime factorization of 609

609 = 3 x 7 x 29

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

LCM = 366009 = 3 x 7 x 29 x 601

Step 4: Therefore, the least common multiple of 601 and 609 is 366009.