Least Common Multiple of 7066 and 7073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7066 and 7073 the smallest integer that is 49977818 that is divisible by both numbers.

Least Common Multiple (LCM) of 7066 and 7073 is 49977818.

LCM(7066,7073) = 49977818

LCM of 7066 and 7073

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

LCM of:
and

Least Common Multiple of 7066 and 7073

LCM of 7066 and 7073 is 49977818

Least common multiple can be found by multiplying the highest exponent prime factors of 7066 and 7073. First we will calculate the prime factors of 7066 and 7073.

Prime Factorization of 7066


2 7066
3533 3533
1

Prime factors of 7066 are 2,3533. Prime factorization of 7066 in exponential form is:

7066 = 21×35331

Prime Factorization of 7073


11 7073
643 643
1

Prime factors of 7073 are 11,643. Prime factorization of 7073 in exponential form is:

7073 = 111×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7066 and 7073.

LCM(7066,7073) = 21×111×6431×35331
LCM(7066,7073) = 49977818

Factors of 7066

List of positive integer factors of 7066 that divides 7066 without a remainder.

1, 2, 3533, 7066

Factors of 7073

List of positive integer factors of 7073 that divides 7073 without a remainder.

1, 11, 643, 7073

Least Common Multiple of 7066 and 7073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7066 and 7073, than apply into the LCM equation.

GCF(7066,7073) = 1
LCM(7066,7073) = ( 7066 × 7073) / 1
LCM(7066,7073) = 49977818 / 1
LCM(7066,7073) = 49977818

Properties of LCM 7066 and 7073

(i) The LCM of 7073 and 7066 is associative

LCM of 7066 and 7073 = LCM of 7073 and 7066

Related Least Common Multiples of 7066

Related Least Common Multiples of 7073

Frequently Asked Questions on LCM of 7066 and 7073

1. What is the LCM of 7066 and 7073?

Answer: LCM of 7066 and 7073 is 49977818.

2. What are the Factors of 7066?

Answer: Factors of 7066 are 1, 2, 3533, 7066. There are 4 integers that are factors of 7066. The greatest factor of 7066 is 7066.

3. What are the Factors of 7073?

Answer: Factors of 7073 are 1, 11, 643, 7073. There are 4 integers that are factors of 7073. The greatest factor of 7073 is 7073.

4. How to Find the LCM of 7066 and 7073?

Answer:

Least Common Multiple of 7066 and 7073 = 49977818

Step 1: Find the prime factorization of 7066

7066 = 2 x 3533

Step 2: Find the prime factorization of 7073

7073 = 11 x 643

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

LCM = 49977818 = 2 x 11 x 643 x 3533

Step 4: Therefore, the least common multiple of 7066 and 7073 is 49977818.