Least Common Multiple of 89182 and 89190

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 89190 the smallest integer that is 3977071290 that is divisible by both numbers.

Least Common Multiple (LCM) of 89182 and 89190 is 3977071290.

LCM(89182,89190) = 3977071290

LCM of 89182 and 89190

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

LCM of:
and

Least Common Multiple of 89182 and 89190

LCM of 89182 and 89190 is 3977071290

Least common multiple can be found by multiplying the highest exponent prime factors of 89182 and 89190. First we will calculate the prime factors of 89182 and 89190.

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 89190


2 89190
3 44595
3 14865
5 4955
991 991
1

Prime factors of 89190 are 2, 3, 5,991. Prime factorization of 89190 in exponential form is:

89190 = 21×32×51×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 89182 and 89190.

LCM(89182,89190) = 21×32×51×171×431×611×9911
LCM(89182,89190) = 3977071290

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 89190

List of positive integer factors of 89190 that divides 89190 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 991, 1982, 2973, 4955, 5946, 8919, 9910, 14865, 17838, 29730, 44595, 89190

Least Common Multiple of 89182 and 89190 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 89190, than apply into the LCM equation.

GCF(89182,89190) = 2
LCM(89182,89190) = ( 89182 × 89190) / 2
LCM(89182,89190) = 7954142580 / 2
LCM(89182,89190) = 3977071290

Properties of LCM 89182 and 89190

(i) The LCM of 89190 and 89182 is associative

LCM of 89182 and 89190 = LCM of 89190 and 89182

Related Least Common Multiples of 89182

Related Least Common Multiples of 89190

Frequently Asked Questions on LCM of 89182 and 89190

1. What is the LCM of 89182 and 89190?

Answer: LCM of 89182 and 89190 is 3977071290.

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 89190?

Answer: Factors of 89190 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 991, 1982, 2973, 4955, 5946, 8919, 9910, 14865, 17838, 29730, 44595, 89190. There are 24 integers that are factors of 89190. The greatest factor of 89190 is 89190.

4. How to Find the LCM of 89182 and 89190?

Answer:

Least Common Multiple of 89182 and 89190 = 3977071290

Step 1: Find the prime factorization of 89182

89182 = 2 x 17 x 43 x 61

Step 2: Find the prime factorization of 89190

89190 = 2 x 3 x 3 x 5 x 991

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

LCM = 3977071290 = 2 x 3 x 3 x 5 x 17 x 43 x 61 x 991

Step 4: Therefore, the least common multiple of 89182 and 89190 is 3977071290.