Least Common Multiple of 67019 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 67019 and 67024 the smallest integer that is 4491881456 that is divisible by both numbers.

Least Common Multiple (LCM) of 67019 and 67024 is 4491881456.

LCM(67019,67024) = 4491881456

LCM of 67019 and 67024

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

LCM of:
and

Least Common Multiple of 67019 and 67024

LCM of 67019 and 67024 is 4491881456

Least common multiple can be found by multiplying the highest exponent prime factors of 67019 and 67024. First we will calculate the prime factors of 67019 and 67024.

Prime Factorization of 67019


29 67019
2311 2311
1

Prime factors of 67019 are 29,2311. Prime factorization of 67019 in exponential form is:

67019 = 291×23111

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 67019 and 67024.

LCM(67019,67024) = 24×291×591×711×23111
LCM(67019,67024) = 4491881456

Factors of 67019

List of positive integer factors of 67019 that divides 67019 without a remainder.

1, 29, 2311, 67019

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 67019 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 67019 and 67024, than apply into the LCM equation.

GCF(67019,67024) = 1
LCM(67019,67024) = ( 67019 × 67024) / 1
LCM(67019,67024) = 4491881456 / 1
LCM(67019,67024) = 4491881456

Properties of LCM 67019 and 67024

(i) The LCM of 67024 and 67019 is associative

LCM of 67019 and 67024 = LCM of 67024 and 67019

Related Least Common Multiples of 67019

Related Least Common Multiples of 67024

Frequently Asked Questions on LCM of 67019 and 67024

1. What is the LCM of 67019 and 67024?

Answer: LCM of 67019 and 67024 is 4491881456.

2. What are the Factors of 67019?

Answer: Factors of 67019 are 1, 29, 2311, 67019. There are 4 integers that are factors of 67019. The greatest factor of 67019 is 67019.

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 67019 and 67024?

Answer:

Least Common Multiple of 67019 and 67024 = 4491881456

Step 1: Find the prime factorization of 67019

67019 = 29 x 2311

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 = 4491881456 = 2 x 2 x 2 x 2 x 29 x 59 x 71 x 2311

Step 4: Therefore, the least common multiple of 67019 and 67024 is 4491881456.