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 7362 the smallest integer that is 27084798 that is divisible by both numbers.
Least Common Multiple (LCM) of 7358 and 7362 is 27084798.
LCM(7358,7362) = 27084798
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 7362. First we will calculate the prime factors of 7358 and 7362.
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 7362
2 | 7362 |
3 | 3681 |
3 | 1227 |
409 | 409 |
1 |
Prime factors of 7362 are 2, 3,409. Prime factorization of 7362 in exponential form is:
7362 = 21×32×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 7358 and 7362.
LCM(7358,7362) = 21×32×131×2831×4091
LCM(7358,7362) = 27084798
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 7362
List of positive integer factors of 7362 that divides 7362 without a remainder.
1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7358 and 7362, than apply into the LCM equation.
GCF(7358,7362) = 2
LCM(7358,7362) = ( 7358 × 7362) / 2
LCM(7358,7362) = 54169596 / 2
LCM(7358,7362) = 27084798
(i) The LCM of 7362 and 7358 is associative
LCM of 7358 and 7362 = LCM of 7362 and 7358
1. What is the LCM of 7358 and 7362?
Answer: LCM of 7358 and 7362 is 27084798.
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 7362?
Answer: Factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362. There are 12 integers that are factors of 7362. The greatest factor of 7362 is 7362.
4. How to Find the LCM of 7358 and 7362?
Answer:
Least Common Multiple of 7358 and 7362 = 27084798
Step 1: Find the prime factorization of 7358
7358 = 2 x 13 x 283
Step 2: Find the prime factorization of 7362
7362 = 2 x 3 x 3 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27084798 = 2 x 3 x 3 x 13 x 283 x 409
Step 4: Therefore, the least common multiple of 7358 and 7362 is 27084798.