Least Common Multiple of 7166 and 7173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7166 and 7173 the smallest integer that is 51401718 that is divisible by both numbers.

Least Common Multiple (LCM) of 7166 and 7173 is 51401718.

LCM(7166,7173) = 51401718

LCM of 7166 and 7173

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

LCM of:
and

Least Common Multiple of 7166 and 7173

LCM of 7166 and 7173 is 51401718

Least common multiple can be found by multiplying the highest exponent prime factors of 7166 and 7173. First we will calculate the prime factors of 7166 and 7173.

Prime Factorization of 7166


2 7166
3583 3583
1

Prime factors of 7166 are 2,3583. Prime factorization of 7166 in exponential form is:

7166 = 21×35831

Prime Factorization of 7173


3 7173
3 2391
797 797
1

Prime factors of 7173 are 3,797. Prime factorization of 7173 in exponential form is:

7173 = 32×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 7166 and 7173.

LCM(7166,7173) = 21×32×7971×35831
LCM(7166,7173) = 51401718

Factors of 7166

List of positive integer factors of 7166 that divides 7166 without a remainder.

1, 2, 3583, 7166

Factors of 7173

List of positive integer factors of 7173 that divides 7173 without a remainder.

1, 3, 9, 797, 2391, 7173

Least Common Multiple of 7166 and 7173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7166 and 7173, than apply into the LCM equation.

GCF(7166,7173) = 1
LCM(7166,7173) = ( 7166 × 7173) / 1
LCM(7166,7173) = 51401718 / 1
LCM(7166,7173) = 51401718

Properties of LCM 7166 and 7173

(i) The LCM of 7173 and 7166 is associative

LCM of 7166 and 7173 = LCM of 7173 and 7166

Related Least Common Multiples of 7166

Related Least Common Multiples of 7173

Frequently Asked Questions on LCM of 7166 and 7173

1. What is the LCM of 7166 and 7173?

Answer: LCM of 7166 and 7173 is 51401718.

2. What are the Factors of 7166?

Answer: Factors of 7166 are 1, 2, 3583, 7166. There are 4 integers that are factors of 7166. The greatest factor of 7166 is 7166.

3. What are the Factors of 7173?

Answer: Factors of 7173 are 1, 3, 9, 797, 2391, 7173. There are 6 integers that are factors of 7173. The greatest factor of 7173 is 7173.

4. How to Find the LCM of 7166 and 7173?

Answer:

Least Common Multiple of 7166 and 7173 = 51401718

Step 1: Find the prime factorization of 7166

7166 = 2 x 3583

Step 2: Find the prime factorization of 7173

7173 = 3 x 3 x 797

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

LCM = 51401718 = 2 x 3 x 3 x 797 x 3583

Step 4: Therefore, the least common multiple of 7166 and 7173 is 51401718.