Least Common Multiple of 89177 and 89184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 89177 and 89184 the smallest integer that is 7953161568 that is divisible by both numbers.

Least Common Multiple (LCM) of 89177 and 89184 is 7953161568.

LCM(89177,89184) = 7953161568

LCM of 89177 and 89184

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

LCM of:
and

Least Common Multiple of 89177 and 89184

LCM of 89177 and 89184 is 7953161568

Least common multiple can be found by multiplying the highest exponent prime factors of 89177 and 89184. First we will calculate the prime factors of 89177 and 89184.

Prime Factorization of 89177


11 89177
11 8107
11 737
67 67
1

Prime factors of 89177 are 11,67. Prime factorization of 89177 in exponential form is:

89177 = 113×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 89177 and 89184.

LCM(89177,89184) = 25×31×113×671×9291
LCM(89177,89184) = 7953161568

Factors of 89177

List of positive integer factors of 89177 that divides 89177 without a remainder.

1, 11, 67, 121, 737, 1331, 8107, 89177

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

Least Common Multiple of 89177 and 89184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89177 and 89184, than apply into the LCM equation.

GCF(89177,89184) = 1
LCM(89177,89184) = ( 89177 × 89184) / 1
LCM(89177,89184) = 7953161568 / 1
LCM(89177,89184) = 7953161568

Properties of LCM 89177 and 89184

(i) The LCM of 89184 and 89177 is associative

LCM of 89177 and 89184 = LCM of 89184 and 89177

Related Least Common Multiples of 89177

Related Least Common Multiples of 89184

Frequently Asked Questions on LCM of 89177 and 89184

1. What is the LCM of 89177 and 89184?

Answer: LCM of 89177 and 89184 is 7953161568.

2. What are the Factors of 89177?

Answer: Factors of 89177 are 1, 11, 67, 121, 737, 1331, 8107, 89177. There are 8 integers that are factors of 89177. The greatest factor of 89177 is 89177.

3. 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.

4. How to Find the LCM of 89177 and 89184?

Answer:

Least Common Multiple of 89177 and 89184 = 7953161568

Step 1: Find the prime factorization of 89177

89177 = 11 x 11 x 11 x 67

Step 2: Find the prime factorization of 89184

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

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

LCM = 7953161568 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 11 x 67 x 929

Step 4: Therefore, the least common multiple of 89177 and 89184 is 7953161568.