Least Common Multiple of 179 and 185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 179 and 185 the smallest integer that is 33115 that is divisible by both numbers.

Least Common Multiple (LCM) of 179 and 185 is 33115.

LCM(179,185) = 33115

LCM of 179 and 185

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

LCM of:
and

Least Common Multiple of 179 and 185

LCM of 179 and 185 is 33115

Least common multiple can be found by multiplying the highest exponent prime factors of 179 and 185. First we will calculate the prime factors of 179 and 185.

Prime Factorization of 179


179 179
1

Prime factors of 179 are 179. Prime factorization of 179 in exponential form is:

179 = 1791

Prime Factorization of 185


5 185
37 37
1

Prime factors of 185 are 5,37. Prime factorization of 185 in exponential form is:

185 = 51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 179 and 185.

LCM(179,185) = 51×371×1791
LCM(179,185) = 33115

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1, 179

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Least Common Multiple of 179 and 185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 179 and 185, than apply into the LCM equation.

GCF(179,185) = 1
LCM(179,185) = ( 179 × 185) / 1
LCM(179,185) = 33115 / 1
LCM(179,185) = 33115

Properties of LCM 179 and 185

(i) The LCM of 185 and 179 is associative

LCM of 179 and 185 = LCM of 185 and 179

Related Least Common Multiples of 179

Related Least Common Multiples of 185

Frequently Asked Questions on LCM of 179 and 185

1. What is the LCM of 179 and 185?

Answer: LCM of 179 and 185 is 33115.

2. What are the Factors of 179?

Answer: Factors of 179 are 1, 179. There are 2 integers that are factors of 179. The greatest factor of 179 is 179.

3. What are the Factors of 185?

Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.

4. How to Find the LCM of 179 and 185?

Answer:

Least Common Multiple of 179 and 185 = 33115

Step 1: Find the prime factorization of 179

179 = 179

Step 2: Find the prime factorization of 185

185 = 5 x 37

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

LCM = 33115 = 5 x 37 x 179

Step 4: Therefore, the least common multiple of 179 and 185 is 33115.