Least Common Multiple of 609 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 609 and 612 the smallest integer that is 124236 that is divisible by both numbers.

Least Common Multiple (LCM) of 609 and 612 is 124236.

LCM(609,612) = 124236

LCM of 609 and 612

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

LCM of:
and

Least Common Multiple of 609 and 612

LCM of 609 and 612 is 124236

Least common multiple can be found by multiplying the highest exponent prime factors of 609 and 612. First we will calculate the prime factors of 609 and 612.

Prime Factorization of 609


3 609
7 203
29 29
1

Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:

609 = 31×71×291

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 609 and 612.

LCM(609,612) = 22×32×71×171×291
LCM(609,612) = 124236

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

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 609 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 609 and 612, than apply into the LCM equation.

GCF(609,612) = 3
LCM(609,612) = ( 609 × 612) / 3
LCM(609,612) = 372708 / 3
LCM(609,612) = 124236

Properties of LCM 609 and 612

(i) The LCM of 612 and 609 is associative

LCM of 609 and 612 = LCM of 612 and 609

Related Least Common Multiples of 609

Related Least Common Multiples of 612

Frequently Asked Questions on LCM of 609 and 612

1. What is the LCM of 609 and 612?

Answer: LCM of 609 and 612 is 124236.

2. What are the Factors of 609?

Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.

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 609 and 612?

Answer:

Least Common Multiple of 609 and 612 = 124236

Step 1: Find the prime factorization of 609

609 = 3 x 7 x 29

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 = 124236 = 2 x 2 x 3 x 3 x 7 x 17 x 29

Step 4: Therefore, the least common multiple of 609 and 612 is 124236.