Least Common Multiple of 601 and 607

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 607 the smallest integer that is 364807 that is divisible by both numbers.

Least Common Multiple (LCM) of 601 and 607 is 364807.

LCM(601,607) = 364807

LCM of 601 and 607

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

LCM of:
and

Least Common Multiple of 601 and 607

LCM of 601 and 607 is 364807

Least common multiple can be found by multiplying the highest exponent prime factors of 601 and 607. First we will calculate the prime factors of 601 and 607.

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 607


607 607
1

Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:

607 = 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 601 and 607.

LCM(601,607) = 6011×6071
LCM(601,607) = 364807

Factors of 601

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

1, 601

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1, 607

Least Common Multiple of 601 and 607 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 607, than apply into the LCM equation.

GCF(601,607) = 1
LCM(601,607) = ( 601 × 607) / 1
LCM(601,607) = 364807 / 1
LCM(601,607) = 364807

Properties of LCM 601 and 607

(i) The LCM of 607 and 601 is associative

LCM of 601 and 607 = LCM of 607 and 601

Related Least Common Multiples of 601

Related Least Common Multiples of 607

Frequently Asked Questions on LCM of 601 and 607

1. What is the LCM of 601 and 607?

Answer: LCM of 601 and 607 is 364807.

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 607?

Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.

4. How to Find the LCM of 601 and 607?

Answer:

Least Common Multiple of 601 and 607 = 364807

Step 1: Find the prime factorization of 601

601 = 601

Step 2: Find the prime factorization of 607

607 = 607

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

LCM = 364807 = 601 x 607

Step 4: Therefore, the least common multiple of 601 and 607 is 364807.