Least Common Multiple of 600 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 600 and 601 the smallest integer that is 360600 that is divisible by both numbers.

Least Common Multiple (LCM) of 600 and 601 is 360600.

LCM(600,601) = 360600

LCM of 600 and 601

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

LCM of:
and

Least Common Multiple of 600 and 601

LCM of 600 and 601 is 360600

Least common multiple can be found by multiplying the highest exponent prime factors of 600 and 601. First we will calculate the prime factors of 600 and 601.

Prime Factorization of 600


2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 600 are 2, 3,5. Prime factorization of 600 in exponential form is:

600 = 23×31×52

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 600 and 601.

LCM(600,601) = 23×31×52×6011
LCM(600,601) = 360600

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Factors of 601

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

1, 601

Least Common Multiple of 600 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 600 and 601, than apply into the LCM equation.

GCF(600,601) = 1
LCM(600,601) = ( 600 × 601) / 1
LCM(600,601) = 360600 / 1
LCM(600,601) = 360600

Properties of LCM 600 and 601

(i) The LCM of 601 and 600 is associative

LCM of 600 and 601 = LCM of 601 and 600

Related Least Common Multiples of 600

Related Least Common Multiples of 601

Frequently Asked Questions on LCM of 600 and 601

1. What is the LCM of 600 and 601?

Answer: LCM of 600 and 601 is 360600.

2. What are the Factors of 600?

Answer: Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. There are 24 integers that are factors of 600. The greatest factor of 600 is 600.

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 600 and 601?

Answer:

Least Common Multiple of 600 and 601 = 360600

Step 1: Find the prime factorization of 600

600 = 2 x 2 x 2 x 3 x 5 x 5

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 = 360600 = 2 x 2 x 2 x 3 x 5 x 5 x 601

Step 4: Therefore, the least common multiple of 600 and 601 is 360600.