Least Common Multiple of 605 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 605 and 612 the smallest integer that is 370260 that is divisible by both numbers.

Least Common Multiple (LCM) of 605 and 612 is 370260.

LCM(605,612) = 370260

LCM of 605 and 612

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

LCM of:
and

Least Common Multiple of 605 and 612

LCM of 605 and 612 is 370260

Least common multiple can be found by multiplying the highest exponent prime factors of 605 and 612. First we will calculate the prime factors of 605 and 612.

Prime Factorization of 605


5 605
11 121
11 11
1

Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:

605 = 51×112

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 605 and 612.

LCM(605,612) = 22×32×51×112×171
LCM(605,612) = 370260

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

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 605 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 605 and 612, than apply into the LCM equation.

GCF(605,612) = 1
LCM(605,612) = ( 605 × 612) / 1
LCM(605,612) = 370260 / 1
LCM(605,612) = 370260

Properties of LCM 605 and 612

(i) The LCM of 612 and 605 is associative

LCM of 605 and 612 = LCM of 612 and 605

Related Least Common Multiples of 605

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 605 and 612

1. What is the LCM of 605 and 612?

Answer: LCM of 605 and 612 is 370260.

2. What are the Factors of 605?

Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.

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 605 and 612?

Answer:

Least Common Multiple of 605 and 612 = 370260

Step 1: Find the prime factorization of 605

605 = 5 x 11 x 11

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 = 370260 = 2 x 2 x 3 x 3 x 5 x 11 x 11 x 17

Step 4: Therefore, the least common multiple of 605 and 612 is 370260.