Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9182 and 9187 the smallest integer that is 84355034 that is divisible by both numbers.
Least Common Multiple (LCM) of 9182 and 9187 is 84355034.
LCM(9182,9187) = 84355034
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 9182 and 9187. First we will calculate the prime factors of 9182 and 9187.
Prime Factorization of 9182
2 | 9182 |
4591 | 4591 |
1 |
Prime factors of 9182 are 2,4591. Prime factorization of 9182 in exponential form is:
9182 = 21×45911
Prime Factorization of 9187
9187 | 9187 |
1 |
Prime factors of 9187 are 9187. Prime factorization of 9187 in exponential form is:
9187 = 91871
Now multiplying the highest exponent prime factors to calculate the LCM of 9182 and 9187.
LCM(9182,9187) = 21×45911×91871
LCM(9182,9187) = 84355034
Factors of 9182
List of positive integer factors of 9182 that divides 9182 without a remainder.
1, 2, 4591, 9182
Factors of 9187
List of positive integer factors of 9187 that divides 9187 without a remainder.
1, 9187
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9182 and 9187, than apply into the LCM equation.
GCF(9182,9187) = 1
LCM(9182,9187) = ( 9182 × 9187) / 1
LCM(9182,9187) = 84355034 / 1
LCM(9182,9187) = 84355034
(i) The LCM of 9187 and 9182 is associative
LCM of 9182 and 9187 = LCM of 9187 and 9182
1. What is the LCM of 9182 and 9187?
Answer: LCM of 9182 and 9187 is 84355034.
2. What are the Factors of 9182?
Answer: Factors of 9182 are 1, 2, 4591, 9182. There are 4 integers that are factors of 9182. The greatest factor of 9182 is 9182.
3. What are the Factors of 9187?
Answer: Factors of 9187 are 1, 9187. There are 2 integers that are factors of 9187. The greatest factor of 9187 is 9187.
4. How to Find the LCM of 9182 and 9187?
Answer:
Least Common Multiple of 9182 and 9187 = 84355034
Step 1: Find the prime factorization of 9182
9182 = 2 x 4591
Step 2: Find the prime factorization of 9187
9187 = 9187
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84355034 = 2 x 4591 x 9187
Step 4: Therefore, the least common multiple of 9182 and 9187 is 84355034.