Least Common Multiple of 610 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 610 and 612 the smallest integer that is 186660 that is divisible by both numbers.

Least Common Multiple (LCM) of 610 and 612 is 186660.

LCM(610,612) = 186660

LCM of 610 and 612

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

LCM of:
and

Least Common Multiple of 610 and 612

LCM of 610 and 612 is 186660

Least common multiple can be found by multiplying the highest exponent prime factors of 610 and 612. First we will calculate the prime factors of 610 and 612.

Prime Factorization of 610


2 610
5 305
61 61
1

Prime factors of 610 are 2, 5,61. Prime factorization of 610 in exponential form is:

610 = 21×51×611

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 610 and 612.

LCM(610,612) = 22×32×51×171×611
LCM(610,612) = 186660

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

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 610 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 610 and 612, than apply into the LCM equation.

GCF(610,612) = 2
LCM(610,612) = ( 610 × 612) / 2
LCM(610,612) = 373320 / 2
LCM(610,612) = 186660

Properties of LCM 610 and 612

(i) The LCM of 612 and 610 is associative

LCM of 610 and 612 = LCM of 612 and 610

Related Least Common Multiples of 610

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 610 and 612

1. What is the LCM of 610 and 612?

Answer: LCM of 610 and 612 is 186660.

2. What are the Factors of 610?

Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.

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 610 and 612?

Answer:

Least Common Multiple of 610 and 612 = 186660

Step 1: Find the prime factorization of 610

610 = 2 x 5 x 61

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 = 186660 = 2 x 2 x 3 x 3 x 5 x 17 x 61

Step 4: Therefore, the least common multiple of 610 and 612 is 186660.