Least Common Multiple of 67016 and 67022

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 67022 the smallest integer that is 2245773176 that is divisible by both numbers.

Least Common Multiple (LCM) of 67016 and 67022 is 2245773176.

LCM(67016,67022) = 2245773176

LCM of 67016 and 67022

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

LCM of:
and

Least Common Multiple of 67016 and 67022

LCM of 67016 and 67022 is 2245773176

Least common multiple can be found by multiplying the highest exponent prime factors of 67016 and 67022. First we will calculate the prime factors of 67016 and 67022.

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 67022


2 67022
23 33511
31 1457
47 47
1

Prime factors of 67022 are 2, 23, 31,47. Prime factorization of 67022 in exponential form is:

67022 = 21×231×311×471

Now multiplying the highest exponent prime factors to calculate the LCM of 67016 and 67022.

LCM(67016,67022) = 23×231×311×471×83771
LCM(67016,67022) = 2245773176

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 67022

List of positive integer factors of 67022 that divides 67022 without a remainder.

1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022

Least Common Multiple of 67016 and 67022 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 67022, than apply into the LCM equation.

GCF(67016,67022) = 2
LCM(67016,67022) = ( 67016 × 67022) / 2
LCM(67016,67022) = 4491546352 / 2
LCM(67016,67022) = 2245773176

Properties of LCM 67016 and 67022

(i) The LCM of 67022 and 67016 is associative

LCM of 67016 and 67022 = LCM of 67022 and 67016

Related Least Common Multiples of 67016

Related Least Common Multiples of 67022

Frequently Asked Questions on LCM of 67016 and 67022

1. What is the LCM of 67016 and 67022?

Answer: LCM of 67016 and 67022 is 2245773176.

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 67022?

Answer: Factors of 67022 are 1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022. There are 16 integers that are factors of 67022. The greatest factor of 67022 is 67022.

4. How to Find the LCM of 67016 and 67022?

Answer:

Least Common Multiple of 67016 and 67022 = 2245773176

Step 1: Find the prime factorization of 67016

67016 = 2 x 2 x 2 x 8377

Step 2: Find the prime factorization of 67022

67022 = 2 x 23 x 31 x 47

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

LCM = 2245773176 = 2 x 2 x 2 x 23 x 31 x 47 x 8377

Step 4: Therefore, the least common multiple of 67016 and 67022 is 2245773176.