Least Common Multiple of 177 and 182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 177 and 182 the smallest integer that is 32214 that is divisible by both numbers.

Least Common Multiple (LCM) of 177 and 182 is 32214.

LCM(177,182) = 32214

LCM of 177 and 182

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

LCM of:
and

Least Common Multiple of 177 and 182

LCM of 177 and 182 is 32214

Least common multiple can be found by multiplying the highest exponent prime factors of 177 and 182. First we will calculate the prime factors of 177 and 182.

Prime Factorization of 177


3 177
59 59
1

Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:

177 = 31×591

Prime Factorization of 182


2 182
7 91
13 13
1

Prime factors of 182 are 2, 7,13. Prime factorization of 182 in exponential form is:

182 = 21×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 177 and 182.

LCM(177,182) = 21×31×71×131×591
LCM(177,182) = 32214

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Least Common Multiple of 177 and 182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 177 and 182, than apply into the LCM equation.

GCF(177,182) = 1
LCM(177,182) = ( 177 × 182) / 1
LCM(177,182) = 32214 / 1
LCM(177,182) = 32214

Properties of LCM 177 and 182

(i) The LCM of 182 and 177 is associative

LCM of 177 and 182 = LCM of 182 and 177

Related Least Common Multiples of 177

Related Least Common Multiples of 182

Frequently Asked Questions on LCM of 177 and 182

1. What is the LCM of 177 and 182?

Answer: LCM of 177 and 182 is 32214.

2. What are the Factors of 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

3. What are the Factors of 182?

Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.

4. How to Find the LCM of 177 and 182?

Answer:

Least Common Multiple of 177 and 182 = 32214

Step 1: Find the prime factorization of 177

177 = 3 x 59

Step 2: Find the prime factorization of 182

182 = 2 x 7 x 13

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

LCM = 32214 = 2 x 3 x 7 x 13 x 59

Step 4: Therefore, the least common multiple of 177 and 182 is 32214.