Least Common Multiple of 89184 and 89191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89184 and 89191 the smallest integer that is 7954410144 that is divisible by both numbers.

Least Common Multiple (LCM) of 89184 and 89191 is 7954410144.

LCM(89184,89191) = 7954410144

LCM of 89184 and 89191

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

LCM of:
and

Least Common Multiple of 89184 and 89191

LCM of 89184 and 89191 is 7954410144

Least common multiple can be found by multiplying the highest exponent prime factors of 89184 and 89191. First we will calculate the prime factors of 89184 and 89191.

Prime Factorization of 89184


2 89184
2 44592
2 22296
2 11148
2 5574
3 2787
929 929
1

Prime factors of 89184 are 2, 3,929. Prime factorization of 89184 in exponential form is:

89184 = 25×31×9291

Prime Factorization of 89191


79 89191
1129 1129
1

Prime factors of 89191 are 79,1129. Prime factorization of 89191 in exponential form is:

89191 = 791×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 89184 and 89191.

LCM(89184,89191) = 25×31×791×9291×11291
LCM(89184,89191) = 7954410144

Factors of 89184

List of positive integer factors of 89184 that divides 89184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 929, 1858, 2787, 3716, 5574, 7432, 11148, 14864, 22296, 29728, 44592, 89184

Factors of 89191

List of positive integer factors of 89191 that divides 89191 without a remainder.

1, 79, 1129, 89191

Least Common Multiple of 89184 and 89191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89184 and 89191, than apply into the LCM equation.

GCF(89184,89191) = 1
LCM(89184,89191) = ( 89184 × 89191) / 1
LCM(89184,89191) = 7954410144 / 1
LCM(89184,89191) = 7954410144

Properties of LCM 89184 and 89191

(i) The LCM of 89191 and 89184 is associative

LCM of 89184 and 89191 = LCM of 89191 and 89184

Related Least Common Multiples of 89184

Related Least Common Multiples of 89191

Frequently Asked Questions on LCM of 89184 and 89191

1. What is the LCM of 89184 and 89191?

Answer: LCM of 89184 and 89191 is 7954410144.

2. What are the Factors of 89184?

Answer: Factors of 89184 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 929, 1858, 2787, 3716, 5574, 7432, 11148, 14864, 22296, 29728, 44592, 89184. There are 24 integers that are factors of 89184. The greatest factor of 89184 is 89184.

3. What are the Factors of 89191?

Answer: Factors of 89191 are 1, 79, 1129, 89191. There are 4 integers that are factors of 89191. The greatest factor of 89191 is 89191.

4. How to Find the LCM of 89184 and 89191?

Answer:

Least Common Multiple of 89184 and 89191 = 7954410144

Step 1: Find the prime factorization of 89184

89184 = 2 x 2 x 2 x 2 x 2 x 3 x 929

Step 2: Find the prime factorization of 89191

89191 = 79 x 1129

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

LCM = 7954410144 = 2 x 2 x 2 x 2 x 2 x 3 x 79 x 929 x 1129

Step 4: Therefore, the least common multiple of 89184 and 89191 is 7954410144.