Least Common Multiple of 40177 and 40182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 40177 and 40182 the smallest integer that is 1614392214 that is divisible by both numbers.

Least Common Multiple (LCM) of 40177 and 40182 is 1614392214.

LCM(40177,40182) = 1614392214

LCM of 40177 and 40182

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

LCM of:
and

Least Common Multiple of 40177 and 40182

LCM of 40177 and 40182 is 1614392214

Least common multiple can be found by multiplying the highest exponent prime factors of 40177 and 40182. First we will calculate the prime factors of 40177 and 40182.

Prime Factorization of 40177


40177 40177
1

Prime factors of 40177 are 40177. Prime factorization of 40177 in exponential form is:

40177 = 401771

Prime Factorization of 40182


2 40182
3 20091
37 6697
181 181
1

Prime factors of 40182 are 2, 3, 37,181. Prime factorization of 40182 in exponential form is:

40182 = 21×31×371×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 40177 and 40182.

LCM(40177,40182) = 21×31×371×1811×401771
LCM(40177,40182) = 1614392214

Factors of 40177

List of positive integer factors of 40177 that divides 40177 without a remainder.

1, 40177

Factors of 40182

List of positive integer factors of 40182 that divides 40182 without a remainder.

1, 2, 3, 6, 37, 74, 111, 181, 222, 362, 543, 1086, 6697, 13394, 20091, 40182

Least Common Multiple of 40177 and 40182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40177 and 40182, than apply into the LCM equation.

GCF(40177,40182) = 1
LCM(40177,40182) = ( 40177 × 40182) / 1
LCM(40177,40182) = 1614392214 / 1
LCM(40177,40182) = 1614392214

Properties of LCM 40177 and 40182

(i) The LCM of 40182 and 40177 is associative

LCM of 40177 and 40182 = LCM of 40182 and 40177

Frequently Asked Questions on LCM of 40177 and 40182

1. What is the LCM of 40177 and 40182?

Answer: LCM of 40177 and 40182 is 1614392214.

2. What are the Factors of 40177?

Answer: Factors of 40177 are 1, 40177. There are 2 integers that are factors of 40177. The greatest factor of 40177 is 40177.

3. What are the Factors of 40182?

Answer: Factors of 40182 are 1, 2, 3, 6, 37, 74, 111, 181, 222, 362, 543, 1086, 6697, 13394, 20091, 40182. There are 16 integers that are factors of 40182. The greatest factor of 40182 is 40182.

4. How to Find the LCM of 40177 and 40182?

Answer:

Least Common Multiple of 40177 and 40182 = 1614392214

Step 1: Find the prime factorization of 40177

40177 = 40177

Step 2: Find the prime factorization of 40182

40182 = 2 x 3 x 37 x 181

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

LCM = 1614392214 = 2 x 3 x 37 x 181 x 40177

Step 4: Therefore, the least common multiple of 40177 and 40182 is 1614392214.