Least Common Multiple of 67006 and 67012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 67006 and 67012 the smallest integer that is 2245103036 that is divisible by both numbers.

Least Common Multiple (LCM) of 67006 and 67012 is 2245103036.

LCM(67006,67012) = 2245103036

LCM of 67006 and 67012

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

LCM of:
and

Least Common Multiple of 67006 and 67012

LCM of 67006 and 67012 is 2245103036

Least common multiple can be found by multiplying the highest exponent prime factors of 67006 and 67012. First we will calculate the prime factors of 67006 and 67012.

Prime Factorization of 67006


2 67006
33503 33503
1

Prime factors of 67006 are 2,33503. Prime factorization of 67006 in exponential form is:

67006 = 21×335031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 67006 and 67012.

LCM(67006,67012) = 22×111×15231×335031
LCM(67006,67012) = 2245103036

Factors of 67006

List of positive integer factors of 67006 that divides 67006 without a remainder.

1, 2, 33503, 67006

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

Least Common Multiple of 67006 and 67012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67006 and 67012, than apply into the LCM equation.

GCF(67006,67012) = 2
LCM(67006,67012) = ( 67006 × 67012) / 2
LCM(67006,67012) = 4490206072 / 2
LCM(67006,67012) = 2245103036

Properties of LCM 67006 and 67012

(i) The LCM of 67012 and 67006 is associative

LCM of 67006 and 67012 = LCM of 67012 and 67006

Related Least Common Multiples of 67006

Related Least Common Multiples of 67012

Frequently Asked Questions on LCM of 67006 and 67012

1. What is the LCM of 67006 and 67012?

Answer: LCM of 67006 and 67012 is 2245103036.

2. What are the Factors of 67006?

Answer: Factors of 67006 are 1, 2, 33503, 67006. There are 4 integers that are factors of 67006. The greatest factor of 67006 is 67006.

3. 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.

4. How to Find the LCM of 67006 and 67012?

Answer:

Least Common Multiple of 67006 and 67012 = 2245103036

Step 1: Find the prime factorization of 67006

67006 = 2 x 33503

Step 2: Find the prime factorization of 67012

67012 = 2 x 2 x 11 x 1523

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

LCM = 2245103036 = 2 x 2 x 11 x 1523 x 33503

Step 4: Therefore, the least common multiple of 67006 and 67012 is 2245103036.