Least Common Multiple of 178 and 186

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 186 the smallest integer that is 16554 that is divisible by both numbers.

Least Common Multiple (LCM) of 178 and 186 is 16554.

LCM(178,186) = 16554

LCM of 178 and 186

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

LCM of:
and

Least Common Multiple of 178 and 186

LCM of 178 and 186 is 16554

Least common multiple can be found by multiplying the highest exponent prime factors of 178 and 186. First we will calculate the prime factors of 178 and 186.

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 186


2 186
3 93
31 31
1

Prime factors of 186 are 2, 3,31. Prime factorization of 186 in exponential form is:

186 = 21×31×311

Now multiplying the highest exponent prime factors to calculate the LCM of 178 and 186.

LCM(178,186) = 21×31×311×891
LCM(178,186) = 16554

Factors of 178

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

1, 2, 89, 178

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Least Common Multiple of 178 and 186 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 186, than apply into the LCM equation.

GCF(178,186) = 2
LCM(178,186) = ( 178 × 186) / 2
LCM(178,186) = 33108 / 2
LCM(178,186) = 16554

Properties of LCM 178 and 186

(i) The LCM of 186 and 178 is associative

LCM of 178 and 186 = LCM of 186 and 178

Related Least Common Multiples of 178

Related Least Common Multiples of 186

Frequently Asked Questions on LCM of 178 and 186

1. What is the LCM of 178 and 186?

Answer: LCM of 178 and 186 is 16554.

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 186?

Answer: Factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186. There are 8 integers that are factors of 186. The greatest factor of 186 is 186.

4. How to Find the LCM of 178 and 186?

Answer:

Least Common Multiple of 178 and 186 = 16554

Step 1: Find the prime factorization of 178

178 = 2 x 89

Step 2: Find the prime factorization of 186

186 = 2 x 3 x 31

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

LCM = 16554 = 2 x 3 x 31 x 89

Step 4: Therefore, the least common multiple of 178 and 186 is 16554.