Least Common Multiple of 607 and 609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 607 and 609 the smallest integer that is 369663 that is divisible by both numbers.

Least Common Multiple (LCM) of 607 and 609 is 369663.

LCM(607,609) = 369663

LCM of 607 and 609

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

LCM of:
and

Least Common Multiple of 607 and 609

LCM of 607 and 609 is 369663

Least common multiple can be found by multiplying the highest exponent prime factors of 607 and 609. First we will calculate the prime factors of 607 and 609.

Prime Factorization of 607


607 607
1

Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:

607 = 6071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 607 and 609.

LCM(607,609) = 31×71×291×6071
LCM(607,609) = 369663

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1, 607

Factors of 609

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

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

Least Common Multiple of 607 and 609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 607 and 609, than apply into the LCM equation.

GCF(607,609) = 1
LCM(607,609) = ( 607 × 609) / 1
LCM(607,609) = 369663 / 1
LCM(607,609) = 369663

Properties of LCM 607 and 609

(i) The LCM of 609 and 607 is associative

LCM of 607 and 609 = LCM of 609 and 607

Related Least Common Multiples of 607

Related Least Common Multiples of 609

Frequently Asked Questions on LCM of 607 and 609

1. What is the LCM of 607 and 609?

Answer: LCM of 607 and 609 is 369663.

2. What are the Factors of 607?

Answer: Factors of 607 are 1, 607. There are 2 integers that are factors of 607. The greatest factor of 607 is 607.

3. 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.

4. How to Find the LCM of 607 and 609?

Answer:

Least Common Multiple of 607 and 609 = 369663

Step 1: Find the prime factorization of 607

607 = 607

Step 2: Find the prime factorization of 609

609 = 3 x 7 x 29

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

LCM = 369663 = 3 x 7 x 29 x 607

Step 4: Therefore, the least common multiple of 607 and 609 is 369663.