Least Common Multiple of 606 and 611

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 611 the smallest integer that is 370266 that is divisible by both numbers.

Least Common Multiple (LCM) of 606 and 611 is 370266.

LCM(606,611) = 370266

LCM of 606 and 611

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

LCM of:
and

Least Common Multiple of 606 and 611

LCM of 606 and 611 is 370266

Least common multiple can be found by multiplying the highest exponent prime factors of 606 and 611. First we will calculate the prime factors of 606 and 611.

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 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 606 and 611.

LCM(606,611) = 21×31×131×471×1011
LCM(606,611) = 370266

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 611

List of positive integer factors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Least Common Multiple of 606 and 611 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 611, than apply into the LCM equation.

GCF(606,611) = 1
LCM(606,611) = ( 606 × 611) / 1
LCM(606,611) = 370266 / 1
LCM(606,611) = 370266

Properties of LCM 606 and 611

(i) The LCM of 611 and 606 is associative

LCM of 606 and 611 = LCM of 611 and 606

Related Least Common Multiples of 606

Related Least Common Multiples of 611

Frequently Asked Questions on LCM of 606 and 611

1. What is the LCM of 606 and 611?

Answer: LCM of 606 and 611 is 370266.

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 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

4. How to Find the LCM of 606 and 611?

Answer:

Least Common Multiple of 606 and 611 = 370266

Step 1: Find the prime factorization of 606

606 = 2 x 3 x 101

Step 2: Find the prime factorization of 611

611 = 13 x 47

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

LCM = 370266 = 2 x 3 x 13 x 47 x 101

Step 4: Therefore, the least common multiple of 606 and 611 is 370266.