Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15353 and 15358 the smallest integer that is 235791374 that is divisible by both numbers.
Least Common Multiple (LCM) of 15353 and 15358 is 235791374.
LCM(15353,15358) = 235791374
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 15353 and 15358. First we will calculate the prime factors of 15353 and 15358.
Prime Factorization of 15353
13 | 15353 |
1181 | 1181 |
1 |
Prime factors of 15353 are 13,1181. Prime factorization of 15353 in exponential form is:
15353 = 131×11811
Prime Factorization of 15358
2 | 15358 |
7 | 7679 |
1097 | 1097 |
1 |
Prime factors of 15358 are 2, 7,1097. Prime factorization of 15358 in exponential form is:
15358 = 21×71×10971
Now multiplying the highest exponent prime factors to calculate the LCM of 15353 and 15358.
LCM(15353,15358) = 21×71×131×10971×11811
LCM(15353,15358) = 235791374
Factors of 15353
List of positive integer factors of 15353 that divides 15353 without a remainder.
1, 13, 1181, 15353
Factors of 15358
List of positive integer factors of 15358 that divides 15358 without a remainder.
1, 2, 7, 14, 1097, 2194, 7679, 15358
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15353 and 15358, than apply into the LCM equation.
GCF(15353,15358) = 1
LCM(15353,15358) = ( 15353 × 15358) / 1
LCM(15353,15358) = 235791374 / 1
LCM(15353,15358) = 235791374
(i) The LCM of 15358 and 15353 is associative
LCM of 15353 and 15358 = LCM of 15358 and 15353
1. What is the LCM of 15353 and 15358?
Answer: LCM of 15353 and 15358 is 235791374.
2. What are the Factors of 15353?
Answer: Factors of 15353 are 1, 13, 1181, 15353. There are 4 integers that are factors of 15353. The greatest factor of 15353 is 15353.
3. What are the Factors of 15358?
Answer: Factors of 15358 are 1, 2, 7, 14, 1097, 2194, 7679, 15358. There are 8 integers that are factors of 15358. The greatest factor of 15358 is 15358.
4. How to Find the LCM of 15353 and 15358?
Answer:
Least Common Multiple of 15353 and 15358 = 235791374
Step 1: Find the prime factorization of 15353
15353 = 13 x 1181
Step 2: Find the prime factorization of 15358
15358 = 2 x 7 x 1097
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 235791374 = 2 x 7 x 13 x 1097 x 1181
Step 4: Therefore, the least common multiple of 15353 and 15358 is 235791374.