Least Common Multiple of 67006 and 67010

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 67010 the smallest integer that is 2245036030 that is divisible by both numbers.

Least Common Multiple (LCM) of 67006 and 67010 is 2245036030.

LCM(67006,67010) = 2245036030

LCM of 67006 and 67010

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

LCM of:
and

Least Common Multiple of 67006 and 67010

LCM of 67006 and 67010 is 2245036030

Least common multiple can be found by multiplying the highest exponent prime factors of 67006 and 67010. First we will calculate the prime factors of 67006 and 67010.

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 67010


2 67010
5 33505
6701 6701
1

Prime factors of 67010 are 2, 5,6701. Prime factorization of 67010 in exponential form is:

67010 = 21×51×67011

Now multiplying the highest exponent prime factors to calculate the LCM of 67006 and 67010.

LCM(67006,67010) = 21×51×67011×335031
LCM(67006,67010) = 2245036030

Factors of 67006

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

1, 2, 33503, 67006

Factors of 67010

List of positive integer factors of 67010 that divides 67010 without a remainder.

1, 2, 5, 10, 6701, 13402, 33505, 67010

Least Common Multiple of 67006 and 67010 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 67010, than apply into the LCM equation.

GCF(67006,67010) = 2
LCM(67006,67010) = ( 67006 × 67010) / 2
LCM(67006,67010) = 4490072060 / 2
LCM(67006,67010) = 2245036030

Properties of LCM 67006 and 67010

(i) The LCM of 67010 and 67006 is associative

LCM of 67006 and 67010 = LCM of 67010 and 67006

Related Least Common Multiples of 67006

Related Least Common Multiples of 67010

Frequently Asked Questions on LCM of 67006 and 67010

1. What is the LCM of 67006 and 67010?

Answer: LCM of 67006 and 67010 is 2245036030.

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 67010?

Answer: Factors of 67010 are 1, 2, 5, 10, 6701, 13402, 33505, 67010. There are 8 integers that are factors of 67010. The greatest factor of 67010 is 67010.

4. How to Find the LCM of 67006 and 67010?

Answer:

Least Common Multiple of 67006 and 67010 = 2245036030

Step 1: Find the prime factorization of 67006

67006 = 2 x 33503

Step 2: Find the prime factorization of 67010

67010 = 2 x 5 x 6701

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

LCM = 2245036030 = 2 x 5 x 6701 x 33503

Step 4: Therefore, the least common multiple of 67006 and 67010 is 2245036030.