Least Common Multiple of 178 and 183

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 183 the smallest integer that is 32574 that is divisible by both numbers.

Least Common Multiple (LCM) of 178 and 183 is 32574.

LCM(178,183) = 32574

LCM of 178 and 183

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

LCM of:
and

Least Common Multiple of 178 and 183

LCM of 178 and 183 is 32574

Least common multiple can be found by multiplying the highest exponent prime factors of 178 and 183. First we will calculate the prime factors of 178 and 183.

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 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 178 and 183.

LCM(178,183) = 21×31×611×891
LCM(178,183) = 32574

Factors of 178

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

1, 2, 89, 178

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Least Common Multiple of 178 and 183 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 183, than apply into the LCM equation.

GCF(178,183) = 1
LCM(178,183) = ( 178 × 183) / 1
LCM(178,183) = 32574 / 1
LCM(178,183) = 32574

Properties of LCM 178 and 183

(i) The LCM of 183 and 178 is associative

LCM of 178 and 183 = LCM of 183 and 178

Related Least Common Multiples of 178

Related Least Common Multiples of 183

Frequently Asked Questions on LCM of 178 and 183

1. What is the LCM of 178 and 183?

Answer: LCM of 178 and 183 is 32574.

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 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. How to Find the LCM of 178 and 183?

Answer:

Least Common Multiple of 178 and 183 = 32574

Step 1: Find the prime factorization of 178

178 = 2 x 89

Step 2: Find the prime factorization of 183

183 = 3 x 61

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

LCM = 32574 = 2 x 3 x 61 x 89

Step 4: Therefore, the least common multiple of 178 and 183 is 32574.