Least Common Multiple of 178 and 179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 178 and 179 the smallest integer that is 31862 that is divisible by both numbers.

Least Common Multiple (LCM) of 178 and 179 is 31862.

LCM(178,179) = 31862

LCM of 178 and 179

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

LCM of:
and

Least Common Multiple of 178 and 179

LCM of 178 and 179 is 31862

Least common multiple can be found by multiplying the highest exponent prime factors of 178 and 179. First we will calculate the prime factors of 178 and 179.

Prime Factorization of 178


2 178
89 89
1

Prime factors of 178 are 2,89. Prime factorization of 178 in exponential form is:

178 = 21×891

Prime Factorization of 179


179 179
1

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

179 = 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 178 and 179.

LCM(178,179) = 21×891×1791
LCM(178,179) = 31862

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Factors of 179

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

1, 179

Least Common Multiple of 178 and 179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 178 and 179, than apply into the LCM equation.

GCF(178,179) = 1
LCM(178,179) = ( 178 × 179) / 1
LCM(178,179) = 31862 / 1
LCM(178,179) = 31862

Properties of LCM 178 and 179

(i) The LCM of 179 and 178 is associative

LCM of 178 and 179 = LCM of 179 and 178

Related Least Common Multiples of 178

Related Least Common Multiples of 179

Frequently Asked Questions on LCM of 178 and 179

1. What is the LCM of 178 and 179?

Answer: LCM of 178 and 179 is 31862.

2. What are the Factors of 178?

Answer: Factors of 178 are 1, 2, 89, 178. There are 4 integers that are factors of 178. The greatest factor of 178 is 178.

3. 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.

4. How to Find the LCM of 178 and 179?

Answer:

Least Common Multiple of 178 and 179 = 31862

Step 1: Find the prime factorization of 178

178 = 2 x 89

Step 2: Find the prime factorization of 179

179 = 179

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

LCM = 31862 = 2 x 89 x 179

Step 4: Therefore, the least common multiple of 178 and 179 is 31862.