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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 89187 and 89182 is associative
LCM of 89182 and 89187 = LCM of 89187 and 89182
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.