Least Common Multiple of 67018 and 67026

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 67026 the smallest integer that is 2245974234 that is divisible by both numbers.

Least Common Multiple (LCM) of 67018 and 67026 is 2245974234.

LCM(67018,67026) = 2245974234

LCM of 67018 and 67026

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

LCM of:
and

Least Common Multiple of 67018 and 67026

LCM of 67018 and 67026 is 2245974234

Least common multiple can be found by multiplying the highest exponent prime factors of 67018 and 67026. First we will calculate the prime factors of 67018 and 67026.

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 67026


2 67026
3 33513
11171 11171
1

Prime factors of 67026 are 2, 3,11171. Prime factorization of 67026 in exponential form is:

67026 = 21×31×111711

Now multiplying the highest exponent prime factors to calculate the LCM of 67018 and 67026.

LCM(67018,67026) = 21×31×71×47871×111711
LCM(67018,67026) = 2245974234

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 67026

List of positive integer factors of 67026 that divides 67026 without a remainder.

1, 2, 3, 6, 11171, 22342, 33513, 67026

Least Common Multiple of 67018 and 67026 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 67026, than apply into the LCM equation.

GCF(67018,67026) = 2
LCM(67018,67026) = ( 67018 × 67026) / 2
LCM(67018,67026) = 4491948468 / 2
LCM(67018,67026) = 2245974234

Properties of LCM 67018 and 67026

(i) The LCM of 67026 and 67018 is associative

LCM of 67018 and 67026 = LCM of 67026 and 67018

Related Least Common Multiples of 67018

Related Least Common Multiples of 67026

Frequently Asked Questions on LCM of 67018 and 67026

1. What is the LCM of 67018 and 67026?

Answer: LCM of 67018 and 67026 is 2245974234.

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 67026?

Answer: Factors of 67026 are 1, 2, 3, 6, 11171, 22342, 33513, 67026. There are 8 integers that are factors of 67026. The greatest factor of 67026 is 67026.

4. How to Find the LCM of 67018 and 67026?

Answer:

Least Common Multiple of 67018 and 67026 = 2245974234

Step 1: Find the prime factorization of 67018

67018 = 2 x 7 x 4787

Step 2: Find the prime factorization of 67026

67026 = 2 x 3 x 11171

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

LCM = 2245974234 = 2 x 3 x 7 x 4787 x 11171

Step 4: Therefore, the least common multiple of 67018 and 67026 is 2245974234.