Least Common Multiple of 67009 and 67016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67009 and 67016 the smallest integer that is 4490675144 that is divisible by both numbers.

Least Common Multiple (LCM) of 67009 and 67016 is 4490675144.

LCM(67009,67016) = 4490675144

LCM of 67009 and 67016

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

LCM of:
and

Least Common Multiple of 67009 and 67016

LCM of 67009 and 67016 is 4490675144

Least common multiple can be found by multiplying the highest exponent prime factors of 67009 and 67016. First we will calculate the prime factors of 67009 and 67016.

Prime Factorization of 67009


113 67009
593 593
1

Prime factors of 67009 are 113,593. Prime factorization of 67009 in exponential form is:

67009 = 1131×5931

Prime Factorization of 67016


2 67016
2 33508
2 16754
8377 8377
1

Prime factors of 67016 are 2,8377. Prime factorization of 67016 in exponential form is:

67016 = 23×83771

Now multiplying the highest exponent prime factors to calculate the LCM of 67009 and 67016.

LCM(67009,67016) = 23×1131×5931×83771
LCM(67009,67016) = 4490675144

Factors of 67009

List of positive integer factors of 67009 that divides 67009 without a remainder.

1, 113, 593, 67009

Factors of 67016

List of positive integer factors of 67016 that divides 67016 without a remainder.

1, 2, 4, 8, 8377, 16754, 33508, 67016

Least Common Multiple of 67009 and 67016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67009 and 67016, than apply into the LCM equation.

GCF(67009,67016) = 1
LCM(67009,67016) = ( 67009 × 67016) / 1
LCM(67009,67016) = 4490675144 / 1
LCM(67009,67016) = 4490675144

Properties of LCM 67009 and 67016

(i) The LCM of 67016 and 67009 is associative

LCM of 67009 and 67016 = LCM of 67016 and 67009

Related Least Common Multiples of 67009

Related Least Common Multiples of 67016

Frequently Asked Questions on LCM of 67009 and 67016

1. What is the LCM of 67009 and 67016?

Answer: LCM of 67009 and 67016 is 4490675144.

2. What are the Factors of 67009?

Answer: Factors of 67009 are 1, 113, 593, 67009. There are 4 integers that are factors of 67009. The greatest factor of 67009 is 67009.

3. What are the Factors of 67016?

Answer: Factors of 67016 are 1, 2, 4, 8, 8377, 16754, 33508, 67016. There are 8 integers that are factors of 67016. The greatest factor of 67016 is 67016.

4. How to Find the LCM of 67009 and 67016?

Answer:

Least Common Multiple of 67009 and 67016 = 4490675144

Step 1: Find the prime factorization of 67009

67009 = 113 x 593

Step 2: Find the prime factorization of 67016

67016 = 2 x 2 x 2 x 8377

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

LCM = 4490675144 = 2 x 2 x 2 x 113 x 593 x 8377

Step 4: Therefore, the least common multiple of 67009 and 67016 is 4490675144.