Least Common Multiple of 179 and 187

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 187 the smallest integer that is 33473 that is divisible by both numbers.

Least Common Multiple (LCM) of 179 and 187 is 33473.

LCM(179,187) = 33473

LCM of 179 and 187

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

LCM of:
and

Least Common Multiple of 179 and 187

LCM of 179 and 187 is 33473

Least common multiple can be found by multiplying the highest exponent prime factors of 179 and 187. First we will calculate the prime factors of 179 and 187.

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 187


11 187
17 17
1

Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:

187 = 111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 179 and 187.

LCM(179,187) = 111×171×1791
LCM(179,187) = 33473

Factors of 179

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

1, 179

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Least Common Multiple of 179 and 187 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 187, than apply into the LCM equation.

GCF(179,187) = 1
LCM(179,187) = ( 179 × 187) / 1
LCM(179,187) = 33473 / 1
LCM(179,187) = 33473

Properties of LCM 179 and 187

(i) The LCM of 187 and 179 is associative

LCM of 179 and 187 = LCM of 187 and 179

Related Least Common Multiples of 179

Related Least Common Multiples of 187

Frequently Asked Questions on LCM of 179 and 187

1. What is the LCM of 179 and 187?

Answer: LCM of 179 and 187 is 33473.

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 187?

Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.

4. How to Find the LCM of 179 and 187?

Answer:

Least Common Multiple of 179 and 187 = 33473

Step 1: Find the prime factorization of 179

179 = 179

Step 2: Find the prime factorization of 187

187 = 11 x 17

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

LCM = 33473 = 11 x 17 x 179

Step 4: Therefore, the least common multiple of 179 and 187 is 33473.