Least Common Multiple of 606 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 606 and 607 the smallest integer that is 367842 that is divisible by both numbers.

Least Common Multiple (LCM) of 606 and 607 is 367842.

LCM(606,607) = 367842

LCM of 606 and 607

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

LCM of:
and

Least Common Multiple of 606 and 607

LCM of 606 and 607 is 367842

Least common multiple can be found by multiplying the highest exponent prime factors of 606 and 607. First we will calculate the prime factors of 606 and 607.

Prime Factorization of 606


2 606
3 303
101 101
1

Prime factors of 606 are 2, 3,101. Prime factorization of 606 in exponential form is:

606 = 21×31×1011

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 606 and 607.

LCM(606,607) = 21×31×1011×6071
LCM(606,607) = 367842

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Factors of 607

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

1, 607

Least Common Multiple of 606 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 606 and 607, than apply into the LCM equation.

GCF(606,607) = 1
LCM(606,607) = ( 606 × 607) / 1
LCM(606,607) = 367842 / 1
LCM(606,607) = 367842

Properties of LCM 606 and 607

(i) The LCM of 607 and 606 is associative

LCM of 606 and 607 = LCM of 607 and 606

Related Least Common Multiples of 606

Related Least Common Multiples of 607

Frequently Asked Questions on LCM of 606 and 607

1. What is the LCM of 606 and 607?

Answer: LCM of 606 and 607 is 367842.

2. What are the Factors of 606?

Answer: Factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606. There are 8 integers that are factors of 606. The greatest factor of 606 is 606.

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 606 and 607?

Answer:

Least Common Multiple of 606 and 607 = 367842

Step 1: Find the prime factorization of 606

606 = 2 x 3 x 101

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 = 367842 = 2 x 3 x 101 x 607

Step 4: Therefore, the least common multiple of 606 and 607 is 367842.