Least Common Multiple of 67016 and 67024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67016 and 67024 the smallest integer that is 561460048 that is divisible by both numbers.

Least Common Multiple (LCM) of 67016 and 67024 is 561460048.

LCM(67016,67024) = 561460048

LCM of 67016 and 67024

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

LCM of:
and

Least Common Multiple of 67016 and 67024

LCM of 67016 and 67024 is 561460048

Least common multiple can be found by multiplying the highest exponent prime factors of 67016 and 67024. First we will calculate the prime factors of 67016 and 67024.

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

Prime Factorization of 67024


2 67024
2 33512
2 16756
2 8378
59 4189
71 71
1

Prime factors of 67024 are 2, 59,71. Prime factorization of 67024 in exponential form is:

67024 = 24×591×711

Now multiplying the highest exponent prime factors to calculate the LCM of 67016 and 67024.

LCM(67016,67024) = 24×591×711×83771
LCM(67016,67024) = 561460048

Factors of 67016

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

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

Factors of 67024

List of positive integer factors of 67024 that divides 67024 without a remainder.

1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024

Least Common Multiple of 67016 and 67024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67016 and 67024, than apply into the LCM equation.

GCF(67016,67024) = 8
LCM(67016,67024) = ( 67016 × 67024) / 8
LCM(67016,67024) = 4491680384 / 8
LCM(67016,67024) = 561460048

Properties of LCM 67016 and 67024

(i) The LCM of 67024 and 67016 is associative

LCM of 67016 and 67024 = LCM of 67024 and 67016

Related Least Common Multiples of 67016

Related Least Common Multiples of 67024

Frequently Asked Questions on LCM of 67016 and 67024

1. What is the LCM of 67016 and 67024?

Answer: LCM of 67016 and 67024 is 561460048.

2. 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.

3. What are the Factors of 67024?

Answer: Factors of 67024 are 1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024. There are 20 integers that are factors of 67024. The greatest factor of 67024 is 67024.

4. How to Find the LCM of 67016 and 67024?

Answer:

Least Common Multiple of 67016 and 67024 = 561460048

Step 1: Find the prime factorization of 67016

67016 = 2 x 2 x 2 x 8377

Step 2: Find the prime factorization of 67024

67024 = 2 x 2 x 2 x 2 x 59 x 71

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

LCM = 561460048 = 2 x 2 x 2 x 2 x 59 x 71 x 8377

Step 4: Therefore, the least common multiple of 67016 and 67024 is 561460048.