Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15183 and 15190 the smallest integer that is 32947110 that is divisible by both numbers.
Least Common Multiple (LCM) of 15183 and 15190 is 32947110.
LCM(15183,15190) = 32947110
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 15183 and 15190. First we will calculate the prime factors of 15183 and 15190.
Prime Factorization of 15183
3 | 15183 |
3 | 5061 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 15183 are 3, 7,241. Prime factorization of 15183 in exponential form is:
15183 = 32×71×2411
Prime Factorization of 15190
2 | 15190 |
5 | 7595 |
7 | 1519 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 15190 are 2, 5, 7,31. Prime factorization of 15190 in exponential form is:
15190 = 21×51×72×311
Now multiplying the highest exponent prime factors to calculate the LCM of 15183 and 15190.
LCM(15183,15190) = 21×32×51×72×311×2411
LCM(15183,15190) = 32947110
Factors of 15183
List of positive integer factors of 15183 that divides 15183 without a remainder.
1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183
Factors of 15190
List of positive integer factors of 15190 that divides 15190 without a remainder.
1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15183 and 15190, than apply into the LCM equation.
GCF(15183,15190) = 7
LCM(15183,15190) = ( 15183 × 15190) / 7
LCM(15183,15190) = 230629770 / 7
LCM(15183,15190) = 32947110
(i) The LCM of 15190 and 15183 is associative
LCM of 15183 and 15190 = LCM of 15190 and 15183
1. What is the LCM of 15183 and 15190?
Answer: LCM of 15183 and 15190 is 32947110.
2. What are the Factors of 15183?
Answer: Factors of 15183 are 1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183. There are 12 integers that are factors of 15183. The greatest factor of 15183 is 15183.
3. What are the Factors of 15190?
Answer: Factors of 15190 are 1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190. There are 24 integers that are factors of 15190. The greatest factor of 15190 is 15190.
4. How to Find the LCM of 15183 and 15190?
Answer:
Least Common Multiple of 15183 and 15190 = 32947110
Step 1: Find the prime factorization of 15183
15183 = 3 x 3 x 7 x 241
Step 2: Find the prime factorization of 15190
15190 = 2 x 5 x 7 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32947110 = 2 x 3 x 3 x 5 x 7 x 7 x 31 x 241
Step 4: Therefore, the least common multiple of 15183 and 15190 is 32947110.