Least Common Multiple of 601 and 608

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 608 the smallest integer that is 365408 that is divisible by both numbers.

Least Common Multiple (LCM) of 601 and 608 is 365408.

LCM(601,608) = 365408

LCM of 601 and 608

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

LCM of:
and

Least Common Multiple of 601 and 608

LCM of 601 and 608 is 365408

Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 608. First we will calculate the prime factors of 601 and 608.

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 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

Now multiplying the highest exponent prime factors to calculate the LCM of 601 and 608.

LCM(601,608) = 25×191×6011
LCM(601,608) = 365408

Factors of 601

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

1, 601

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Least Common Multiple of 601 and 608 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 608, than apply into the LCM equation.

GCF(601,608) = 1
LCM(601,608) = ( 601 × 608) / 1
LCM(601,608) = 365408 / 1
LCM(601,608) = 365408

Properties of LCM 601 and 608

(i) The LCM of 608 and 601 is associative

LCM of 601 and 608 = LCM of 608 and 601

Related Least Common Multiples of 601

Related Least Common Multiples of 608

Frequently Asked Questions on LCM of 601 and 608

1. What is the LCM of 601 and 608?

Answer: LCM of 601 and 608 is 365408.

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 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

4. How to Find the LCM of 601 and 608?

Answer:

Least Common Multiple of 601 and 608 = 365408

Step 1: Find the prime factorization of 601

601 = 601

Step 2: Find the prime factorization of 608

608 = 2 x 2 x 2 x 2 x 2 x 19

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

LCM = 365408 = 2 x 2 x 2 x 2 x 2 x 19 x 601

Step 4: Therefore, the least common multiple of 601 and 608 is 365408.