Least Common Multiple of 89182 and 89186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89182 and 89186 the smallest integer that is 3976892926 that is divisible by both numbers.

Least Common Multiple (LCM) of 89182 and 89186 is 3976892926.

LCM(89182,89186) = 3976892926

LCM of 89182 and 89186

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

LCM of:
and

Least Common Multiple of 89182 and 89186

LCM of 89182 and 89186 is 3976892926

Least common multiple can be found by multiplying the highest exponent prime factors of 89182 and 89186. First we will calculate the prime factors of 89182 and 89186.

Prime Factorization of 89182


2 89182
17 44591
43 2623
61 61
1

Prime factors of 89182 are 2, 17, 43,61. Prime factorization of 89182 in exponential form is:

89182 = 21×171×431×611

Prime Factorization of 89186


2 89186
19 44593
2347 2347
1

Prime factors of 89186 are 2, 19,2347. Prime factorization of 89186 in exponential form is:

89186 = 21×191×23471

Now multiplying the highest exponent prime factors to calculate the LCM of 89182 and 89186.

LCM(89182,89186) = 21×171×191×431×611×23471
LCM(89182,89186) = 3976892926

Factors of 89182

List of positive integer factors of 89182 that divides 89182 without a remainder.

1, 2, 17, 34, 43, 61, 86, 122, 731, 1037, 1462, 2074, 2623, 5246, 44591, 89182

Factors of 89186

List of positive integer factors of 89186 that divides 89186 without a remainder.

1, 2, 19, 38, 2347, 4694, 44593, 89186

Least Common Multiple of 89182 and 89186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89182 and 89186, than apply into the LCM equation.

GCF(89182,89186) = 2
LCM(89182,89186) = ( 89182 × 89186) / 2
LCM(89182,89186) = 7953785852 / 2
LCM(89182,89186) = 3976892926

Properties of LCM 89182 and 89186

(i) The LCM of 89186 and 89182 is associative

LCM of 89182 and 89186 = LCM of 89186 and 89182

Related Least Common Multiples of 89182

Related Least Common Multiples of 89186

Frequently Asked Questions on LCM of 89182 and 89186

1. What is the LCM of 89182 and 89186?

Answer: LCM of 89182 and 89186 is 3976892926.

2. What are the Factors of 89182?

Answer: Factors of 89182 are 1, 2, 17, 34, 43, 61, 86, 122, 731, 1037, 1462, 2074, 2623, 5246, 44591, 89182. There are 16 integers that are factors of 89182. The greatest factor of 89182 is 89182.

3. What are the Factors of 89186?

Answer: Factors of 89186 are 1, 2, 19, 38, 2347, 4694, 44593, 89186. There are 8 integers that are factors of 89186. The greatest factor of 89186 is 89186.

4. How to Find the LCM of 89182 and 89186?

Answer:

Least Common Multiple of 89182 and 89186 = 3976892926

Step 1: Find the prime factorization of 89182

89182 = 2 x 17 x 43 x 61

Step 2: Find the prime factorization of 89186

89186 = 2 x 19 x 2347

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

LCM = 3976892926 = 2 x 17 x 19 x 43 x 61 x 2347

Step 4: Therefore, the least common multiple of 89182 and 89186 is 3976892926.