Least Common Multiple of 67008 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 67008 and 67016 the smallest integer that is 561326016 that is divisible by both numbers.

Least Common Multiple (LCM) of 67008 and 67016 is 561326016.

LCM(67008,67016) = 561326016

LCM of 67008 and 67016

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

LCM of:
and

Least Common Multiple of 67008 and 67016

LCM of 67008 and 67016 is 561326016

Least common multiple can be found by multiplying the highest exponent prime factors of 67008 and 67016. First we will calculate the prime factors of 67008 and 67016.

Prime Factorization of 67008


2 67008
2 33504
2 16752
2 8376
2 4188
2 2094
3 1047
349 349
1

Prime factors of 67008 are 2, 3,349. Prime factorization of 67008 in exponential form is:

67008 = 26×31×3491

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 67008 and 67016.

LCM(67008,67016) = 26×31×3491×83771
LCM(67008,67016) = 561326016

Factors of 67008

List of positive integer factors of 67008 that divides 67008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752, 22336, 33504, 67008

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 67008 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 67008 and 67016, than apply into the LCM equation.

GCF(67008,67016) = 8
LCM(67008,67016) = ( 67008 × 67016) / 8
LCM(67008,67016) = 4490608128 / 8
LCM(67008,67016) = 561326016

Properties of LCM 67008 and 67016

(i) The LCM of 67016 and 67008 is associative

LCM of 67008 and 67016 = LCM of 67016 and 67008

Related Least Common Multiples of 67008

Related Least Common Multiples of 67016

Frequently Asked Questions on LCM of 67008 and 67016

1. What is the LCM of 67008 and 67016?

Answer: LCM of 67008 and 67016 is 561326016.

2. What are the Factors of 67008?

Answer: Factors of 67008 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752, 22336, 33504, 67008. There are 28 integers that are factors of 67008. The greatest factor of 67008 is 67008.

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 67008 and 67016?

Answer:

Least Common Multiple of 67008 and 67016 = 561326016

Step 1: Find the prime factorization of 67008

67008 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 349

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 = 561326016 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 349 x 8377

Step 4: Therefore, the least common multiple of 67008 and 67016 is 561326016.