Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7358 and 7359 the smallest integer that is 54147522 that is divisible by both numbers.
Least Common Multiple (LCM) of 7358 and 7359 is 54147522.
LCM(7358,7359) = 54147522
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 7358 and 7359. First we will calculate the prime factors of 7358 and 7359.
Prime Factorization of 7358
2 | 7358 |
13 | 3679 |
283 | 283 |
1 |
Prime factors of 7358 are 2, 13,283. Prime factorization of 7358 in exponential form is:
7358 = 21×131×2831
Prime Factorization of 7359
3 | 7359 |
11 | 2453 |
223 | 223 |
1 |
Prime factors of 7359 are 3, 11,223. Prime factorization of 7359 in exponential form is:
7359 = 31×111×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 7358 and 7359.
LCM(7358,7359) = 21×31×111×131×2231×2831
LCM(7358,7359) = 54147522
Factors of 7358
List of positive integer factors of 7358 that divides 7358 without a remainder.
1, 2, 13, 26, 283, 566, 3679, 7358
Factors of 7359
List of positive integer factors of 7359 that divides 7359 without a remainder.
1, 3, 11, 33, 223, 669, 2453, 7359
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7358 and 7359, than apply into the LCM equation.
GCF(7358,7359) = 1
LCM(7358,7359) = ( 7358 × 7359) / 1
LCM(7358,7359) = 54147522 / 1
LCM(7358,7359) = 54147522
(i) The LCM of 7359 and 7358 is associative
LCM of 7358 and 7359 = LCM of 7359 and 7358
1. What is the LCM of 7358 and 7359?
Answer: LCM of 7358 and 7359 is 54147522.
2. What are the Factors of 7358?
Answer: Factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358. There are 8 integers that are factors of 7358. The greatest factor of 7358 is 7358.
3. What are the Factors of 7359?
Answer: Factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359. There are 8 integers that are factors of 7359. The greatest factor of 7359 is 7359.
4. How to Find the LCM of 7358 and 7359?
Answer:
Least Common Multiple of 7358 and 7359 = 54147522
Step 1: Find the prime factorization of 7358
7358 = 2 x 13 x 283
Step 2: Find the prime factorization of 7359
7359 = 3 x 11 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54147522 = 2 x 3 x 11 x 13 x 223 x 283
Step 4: Therefore, the least common multiple of 7358 and 7359 is 54147522.