Least Common Multiple of 67018 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 67018 and 67022 the smallest integer that is 2245840198 that is divisible by both numbers.

Least Common Multiple (LCM) of 67018 and 67022 is 2245840198.

LCM(67018,67022) = 2245840198

LCM of 67018 and 67022

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

LCM of:
and

Least Common Multiple of 67018 and 67022

LCM of 67018 and 67022 is 2245840198

Least common multiple can be found by multiplying the highest exponent prime factors of 67018 and 67022. First we will calculate the prime factors of 67018 and 67022.

Prime Factorization of 67018


2 67018
7 33509
4787 4787
1

Prime factors of 67018 are 2, 7,4787. Prime factorization of 67018 in exponential form is:

67018 = 21×71×47871

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 67018 and 67022.

LCM(67018,67022) = 21×71×231×311×471×47871
LCM(67018,67022) = 2245840198

Factors of 67018

List of positive integer factors of 67018 that divides 67018 without a remainder.

1, 2, 7, 14, 4787, 9574, 33509, 67018

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 67018 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 67018 and 67022, than apply into the LCM equation.

GCF(67018,67022) = 2
LCM(67018,67022) = ( 67018 × 67022) / 2
LCM(67018,67022) = 4491680396 / 2
LCM(67018,67022) = 2245840198

Properties of LCM 67018 and 67022

(i) The LCM of 67022 and 67018 is associative

LCM of 67018 and 67022 = LCM of 67022 and 67018

Related Least Common Multiples of 67018

Related Least Common Multiples of 67022

Frequently Asked Questions on LCM of 67018 and 67022

1. What is the LCM of 67018 and 67022?

Answer: LCM of 67018 and 67022 is 2245840198.

2. What are the Factors of 67018?

Answer: Factors of 67018 are 1, 2, 7, 14, 4787, 9574, 33509, 67018. There are 8 integers that are factors of 67018. The greatest factor of 67018 is 67018.

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 67018 and 67022?

Answer:

Least Common Multiple of 67018 and 67022 = 2245840198

Step 1: Find the prime factorization of 67018

67018 = 2 x 7 x 4787

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 = 2245840198 = 2 x 7 x 23 x 31 x 47 x 4787

Step 4: Therefore, the least common multiple of 67018 and 67022 is 2245840198.