Least Common Multiple of 89185 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 89185 and 89190 the smallest integer that is 1590882030 that is divisible by both numbers.

Least Common Multiple (LCM) of 89185 and 89190 is 1590882030.

LCM(89185,89190) = 1590882030

LCM of 89185 and 89190

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

LCM of:
and

Least Common Multiple of 89185 and 89190

LCM of 89185 and 89190 is 1590882030

Least common multiple can be found by multiplying the highest exponent prime factors of 89185 and 89190. First we will calculate the prime factors of 89185 and 89190.

Prime Factorization of 89185


5 89185
17837 17837
1

Prime factors of 89185 are 5,17837. Prime factorization of 89185 in exponential form is:

89185 = 51×178371

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 89185 and 89190.

LCM(89185,89190) = 21×32×51×9911×178371
LCM(89185,89190) = 1590882030

Factors of 89185

List of positive integer factors of 89185 that divides 89185 without a remainder.

1, 5, 17837, 89185

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 89185 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 89185 and 89190, than apply into the LCM equation.

GCF(89185,89190) = 5
LCM(89185,89190) = ( 89185 × 89190) / 5
LCM(89185,89190) = 7954410150 / 5
LCM(89185,89190) = 1590882030

Properties of LCM 89185 and 89190

(i) The LCM of 89190 and 89185 is associative

LCM of 89185 and 89190 = LCM of 89190 and 89185

Related Least Common Multiples of 89185

Related Least Common Multiples of 89190

Frequently Asked Questions on LCM of 89185 and 89190

1. What is the LCM of 89185 and 89190?

Answer: LCM of 89185 and 89190 is 1590882030.

2. What are the Factors of 89185?

Answer: Factors of 89185 are 1, 5, 17837, 89185. There are 4 integers that are factors of 89185. The greatest factor of 89185 is 89185.

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 89185 and 89190?

Answer:

Least Common Multiple of 89185 and 89190 = 1590882030

Step 1: Find the prime factorization of 89185

89185 = 5 x 17837

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 = 1590882030 = 2 x 3 x 3 x 5 x 991 x 17837

Step 4: Therefore, the least common multiple of 89185 and 89190 is 1590882030.