Least Common Multiple of 594 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 594 and 601 the smallest integer that is 356994 that is divisible by both numbers.

Least Common Multiple (LCM) of 594 and 601 is 356994.

LCM(594,601) = 356994

LCM of 594 and 601

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

LCM of:
and

Least Common Multiple of 594 and 601

LCM of 594 and 601 is 356994

Least common multiple can be found by multiplying the highest exponent prime factors of 594 and 601. First we will calculate the prime factors of 594 and 601.

Prime Factorization of 594


2 594
3 297
3 99
3 33
11 11
1

Prime factors of 594 are 2, 3,11. Prime factorization of 594 in exponential form is:

594 = 21×33×111

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 594 and 601.

LCM(594,601) = 21×33×111×6011
LCM(594,601) = 356994

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Factors of 601

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

1, 601

Least Common Multiple of 594 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 594 and 601, than apply into the LCM equation.

GCF(594,601) = 1
LCM(594,601) = ( 594 × 601) / 1
LCM(594,601) = 356994 / 1
LCM(594,601) = 356994

Properties of LCM 594 and 601

(i) The LCM of 601 and 594 is associative

LCM of 594 and 601 = LCM of 601 and 594

Related Least Common Multiples of 594

Related Least Common Multiples of 601

Frequently Asked Questions on LCM of 594 and 601

1. What is the LCM of 594 and 601?

Answer: LCM of 594 and 601 is 356994.

2. What are the Factors of 594?

Answer: Factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594. There are 16 integers that are factors of 594. The greatest factor of 594 is 594.

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 594 and 601?

Answer:

Least Common Multiple of 594 and 601 = 356994

Step 1: Find the prime factorization of 594

594 = 2 x 3 x 3 x 3 x 11

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 = 356994 = 2 x 3 x 3 x 3 x 11 x 601

Step 4: Therefore, the least common multiple of 594 and 601 is 356994.