Least Common Multiple of 606 and 612

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 612 the smallest integer that is 61812 that is divisible by both numbers.

Least Common Multiple (LCM) of 606 and 612 is 61812.

LCM(606,612) = 61812

LCM of 606 and 612

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

LCM of:
and

Least Common Multiple of 606 and 612

LCM of 606 and 612 is 61812

Least common multiple can be found by multiplying the highest exponent prime factors of 606 and 612. First we will calculate the prime factors of 606 and 612.

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 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2, 3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

Now multiplying the highest exponent prime factors to calculate the LCM of 606 and 612.

LCM(606,612) = 22×32×171×1011
LCM(606,612) = 61812

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 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Least Common Multiple of 606 and 612 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 612, than apply into the LCM equation.

GCF(606,612) = 6
LCM(606,612) = ( 606 × 612) / 6
LCM(606,612) = 370872 / 6
LCM(606,612) = 61812

Properties of LCM 606 and 612

(i) The LCM of 612 and 606 is associative

LCM of 606 and 612 = LCM of 612 and 606

Related Least Common Multiples of 606

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 606 and 612

1. What is the LCM of 606 and 612?

Answer: LCM of 606 and 612 is 61812.

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 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

4. How to Find the LCM of 606 and 612?

Answer:

Least Common Multiple of 606 and 612 = 61812

Step 1: Find the prime factorization of 606

606 = 2 x 3 x 101

Step 2: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

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

LCM = 61812 = 2 x 2 x 3 x 3 x 17 x 101

Step 4: Therefore, the least common multiple of 606 and 612 is 61812.