Least Common Multiple of 179 and 180

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 180 the smallest integer that is 32220 that is divisible by both numbers.

Least Common Multiple (LCM) of 179 and 180 is 32220.

LCM(179,180) = 32220

LCM of 179 and 180

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

LCM of:
and

Least Common Multiple of 179 and 180

LCM of 179 and 180 is 32220

Least common multiple can be found by multiplying the highest exponent prime factors of 179 and 180. First we will calculate the prime factors of 179 and 180.

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 180


2 180
2 90
3 45
3 15
5 5
1

Prime factors of 180 are 2, 3,5. Prime factorization of 180 in exponential form is:

180 = 22×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 179 and 180.

LCM(179,180) = 22×32×51×1791
LCM(179,180) = 32220

Factors of 179

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

1, 179

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Least Common Multiple of 179 and 180 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 180, than apply into the LCM equation.

GCF(179,180) = 1
LCM(179,180) = ( 179 × 180) / 1
LCM(179,180) = 32220 / 1
LCM(179,180) = 32220

Properties of LCM 179 and 180

(i) The LCM of 180 and 179 is associative

LCM of 179 and 180 = LCM of 180 and 179

Related Least Common Multiples of 179

Related Least Common Multiples of 180

Frequently Asked Questions on LCM of 179 and 180

1. What is the LCM of 179 and 180?

Answer: LCM of 179 and 180 is 32220.

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 180?

Answer: Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. There are 18 integers that are factors of 180. The greatest factor of 180 is 180.

4. How to Find the LCM of 179 and 180?

Answer:

Least Common Multiple of 179 and 180 = 32220

Step 1: Find the prime factorization of 179

179 = 179

Step 2: Find the prime factorization of 180

180 = 2 x 2 x 3 x 3 x 5

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

LCM = 32220 = 2 x 2 x 3 x 3 x 5 x 179

Step 4: Therefore, the least common multiple of 179 and 180 is 32220.