Least Common Multiple of 9179 and 9187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9179 and 9187 the smallest integer that is 84327473 that is divisible by both numbers.

Least Common Multiple (LCM) of 9179 and 9187 is 84327473.

LCM(9179,9187) = 84327473

LCM of 9179 and 9187

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

LCM of:
and

Least Common Multiple of 9179 and 9187

LCM of 9179 and 9187 is 84327473

Least common multiple can be found by multiplying the highest exponent prime factors of 9179 and 9187. First we will calculate the prime factors of 9179 and 9187.

Prime Factorization of 9179


67 9179
137 137
1

Prime factors of 9179 are 67,137. Prime factorization of 9179 in exponential form is:

9179 = 671×1371

Prime Factorization of 9187


9187 9187
1

Prime factors of 9187 are 9187. Prime factorization of 9187 in exponential form is:

9187 = 91871

Now multiplying the highest exponent prime factors to calculate the LCM of 9179 and 9187.

LCM(9179,9187) = 671×1371×91871
LCM(9179,9187) = 84327473

Factors of 9179

List of positive integer factors of 9179 that divides 9179 without a remainder.

1, 67, 137, 9179

Factors of 9187

List of positive integer factors of 9187 that divides 9187 without a remainder.

1, 9187

Least Common Multiple of 9179 and 9187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9179 and 9187, than apply into the LCM equation.

GCF(9179,9187) = 1
LCM(9179,9187) = ( 9179 × 9187) / 1
LCM(9179,9187) = 84327473 / 1
LCM(9179,9187) = 84327473

Properties of LCM 9179 and 9187

(i) The LCM of 9187 and 9179 is associative

LCM of 9179 and 9187 = LCM of 9187 and 9179

Related Least Common Multiples of 9179

Related Least Common Multiples of 9187

Frequently Asked Questions on LCM of 9179 and 9187

1. What is the LCM of 9179 and 9187?

Answer: LCM of 9179 and 9187 is 84327473.

2. What are the Factors of 9179?

Answer: Factors of 9179 are 1, 67, 137, 9179. There are 4 integers that are factors of 9179. The greatest factor of 9179 is 9179.

3. What are the Factors of 9187?

Answer: Factors of 9187 are 1, 9187. There are 2 integers that are factors of 9187. The greatest factor of 9187 is 9187.

4. How to Find the LCM of 9179 and 9187?

Answer:

Least Common Multiple of 9179 and 9187 = 84327473

Step 1: Find the prime factorization of 9179

9179 = 67 x 137

Step 2: Find the prime factorization of 9187

9187 = 9187

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

LCM = 84327473 = 67 x 137 x 9187

Step 4: Therefore, the least common multiple of 9179 and 9187 is 84327473.