Least Common Multiple of 595 and 601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 595 and 601 the smallest integer that is 357595 that is divisible by both numbers.

Least Common Multiple (LCM) of 595 and 601 is 357595.

LCM(595,601) = 357595

LCM of 595 and 601

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

LCM of:
and

Least Common Multiple of 595 and 601

LCM of 595 and 601 is 357595

Least common multiple can be found by multiplying the highest exponent prime factors of 595 and 601. First we will calculate the prime factors of 595 and 601.

Prime Factorization of 595


5 595
7 119
17 17
1

Prime factors of 595 are 5, 7,17. Prime factorization of 595 in exponential form is:

595 = 51×71×171

Prime Factorization of 601


601 601
1

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

601 = 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 595 and 601.

LCM(595,601) = 51×71×171×6011
LCM(595,601) = 357595

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Factors of 601

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

1, 601

Least Common Multiple of 595 and 601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 595 and 601, than apply into the LCM equation.

GCF(595,601) = 1
LCM(595,601) = ( 595 × 601) / 1
LCM(595,601) = 357595 / 1
LCM(595,601) = 357595

Properties of LCM 595 and 601

(i) The LCM of 601 and 595 is associative

LCM of 595 and 601 = LCM of 601 and 595

Related Least Common Multiples of 595

Related Least Common Multiples of 601

Frequently Asked Questions on LCM of 595 and 601

1. What is the LCM of 595 and 601?

Answer: LCM of 595 and 601 is 357595.

2. What are the Factors of 595?

Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.

3. 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.

4. How to Find the LCM of 595 and 601?

Answer:

Least Common Multiple of 595 and 601 = 357595

Step 1: Find the prime factorization of 595

595 = 5 x 7 x 17

Step 2: Find the prime factorization of 601

601 = 601

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

LCM = 357595 = 5 x 7 x 17 x 601

Step 4: Therefore, the least common multiple of 595 and 601 is 357595.