Least Common Multiple of 67012 and 67018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67012 and 67018 the smallest integer that is 2245505108 that is divisible by both numbers.

Least Common Multiple (LCM) of 67012 and 67018 is 2245505108.

LCM(67012,67018) = 2245505108

LCM of 67012 and 67018

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

LCM of:
and

Least Common Multiple of 67012 and 67018

LCM of 67012 and 67018 is 2245505108

Least common multiple can be found by multiplying the highest exponent prime factors of 67012 and 67018. First we will calculate the prime factors of 67012 and 67018.

Prime Factorization of 67012


2 67012
2 33506
11 16753
1523 1523
1

Prime factors of 67012 are 2, 11,1523. Prime factorization of 67012 in exponential form is:

67012 = 22×111×15231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67012 and 67018.

LCM(67012,67018) = 22×71×111×15231×47871
LCM(67012,67018) = 2245505108

Factors of 67012

List of positive integer factors of 67012 that divides 67012 without a remainder.

1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012

Factors of 67018

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

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

Least Common Multiple of 67012 and 67018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67012 and 67018, than apply into the LCM equation.

GCF(67012,67018) = 2
LCM(67012,67018) = ( 67012 × 67018) / 2
LCM(67012,67018) = 4491010216 / 2
LCM(67012,67018) = 2245505108

Properties of LCM 67012 and 67018

(i) The LCM of 67018 and 67012 is associative

LCM of 67012 and 67018 = LCM of 67018 and 67012

Related Least Common Multiples of 67012

Related Least Common Multiples of 67018

Frequently Asked Questions on LCM of 67012 and 67018

1. What is the LCM of 67012 and 67018?

Answer: LCM of 67012 and 67018 is 2245505108.

2. What are the Factors of 67012?

Answer: Factors of 67012 are 1, 2, 4, 11, 22, 44, 1523, 3046, 6092, 16753, 33506, 67012. There are 12 integers that are factors of 67012. The greatest factor of 67012 is 67012.

3. 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.

4. How to Find the LCM of 67012 and 67018?

Answer:

Least Common Multiple of 67012 and 67018 = 2245505108

Step 1: Find the prime factorization of 67012

67012 = 2 x 2 x 11 x 1523

Step 2: Find the prime factorization of 67018

67018 = 2 x 7 x 4787

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

LCM = 2245505108 = 2 x 2 x 7 x 11 x 1523 x 4787

Step 4: Therefore, the least common multiple of 67012 and 67018 is 2245505108.