Least Common Multiple of 89182 and 89187

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 89187 the smallest integer that is 7953875034 that is divisible by both numbers.

Least Common Multiple (LCM) of 89182 and 89187 is 7953875034.

LCM(89182,89187) = 7953875034

LCM of 89182 and 89187

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

LCM of:
and

Least Common Multiple of 89182 and 89187

LCM of 89182 and 89187 is 7953875034

Least common multiple can be found by multiplying the highest exponent prime factors of 89182 and 89187. First we will calculate the prime factors of 89182 and 89187.

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 89187


3 89187
7 29729
31 4247
137 137
1

Prime factors of 89187 are 3, 7, 31,137. Prime factorization of 89187 in exponential form is:

89187 = 31×71×311×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 89182 and 89187.

LCM(89182,89187) = 21×31×71×171×311×431×611×1371
LCM(89182,89187) = 7953875034

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 89187

List of positive integer factors of 89187 that divides 89187 without a remainder.

1, 3, 7, 21, 31, 93, 137, 217, 411, 651, 959, 2877, 4247, 12741, 29729, 89187

Least Common Multiple of 89182 and 89187 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 89187, than apply into the LCM equation.

GCF(89182,89187) = 1
LCM(89182,89187) = ( 89182 × 89187) / 1
LCM(89182,89187) = 7953875034 / 1
LCM(89182,89187) = 7953875034

Properties of LCM 89182 and 89187

(i) The LCM of 89187 and 89182 is associative

LCM of 89182 and 89187 = LCM of 89187 and 89182

Frequently Asked Questions on LCM of 89182 and 89187

1. What is the LCM of 89182 and 89187?

Answer: LCM of 89182 and 89187 is 7953875034.

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 89187?

Answer: Factors of 89187 are 1, 3, 7, 21, 31, 93, 137, 217, 411, 651, 959, 2877, 4247, 12741, 29729, 89187. There are 16 integers that are factors of 89187. The greatest factor of 89187 is 89187.

4. How to Find the LCM of 89182 and 89187?

Answer:

Least Common Multiple of 89182 and 89187 = 7953875034

Step 1: Find the prime factorization of 89182

89182 = 2 x 17 x 43 x 61

Step 2: Find the prime factorization of 89187

89187 = 3 x 7 x 31 x 137

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

LCM = 7953875034 = 2 x 3 x 7 x 17 x 31 x 43 x 61 x 137

Step 4: Therefore, the least common multiple of 89182 and 89187 is 7953875034.