Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7362 and 7369 the smallest integer that is 54250578 that is divisible by both numbers.
Least Common Multiple (LCM) of 7362 and 7369 is 54250578.
LCM(7362,7369) = 54250578
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 7362 and 7369. First we will calculate the prime factors of 7362 and 7369.
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
Prime Factorization of 7369
7369 | 7369 |
1 |
Prime factors of 7369 are 7369. Prime factorization of 7369 in exponential form is:
7369 = 73691
Now multiplying the highest exponent prime factors to calculate the LCM of 7362 and 7369.
LCM(7362,7369) = 21×32×4091×73691
LCM(7362,7369) = 54250578
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
Factors of 7369
List of positive integer factors of 7369 that divides 7369 without a remainder.
1, 7369
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7362 and 7369, than apply into the LCM equation.
GCF(7362,7369) = 1
LCM(7362,7369) = ( 7362 × 7369) / 1
LCM(7362,7369) = 54250578 / 1
LCM(7362,7369) = 54250578
(i) The LCM of 7369 and 7362 is associative
LCM of 7362 and 7369 = LCM of 7369 and 7362
1. What is the LCM of 7362 and 7369?
Answer: LCM of 7362 and 7369 is 54250578.
2. 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.
3. What are the Factors of 7369?
Answer: Factors of 7369 are 1, 7369. There are 2 integers that are factors of 7369. The greatest factor of 7369 is 7369.
4. How to Find the LCM of 7362 and 7369?
Answer:
Least Common Multiple of 7362 and 7369 = 54250578
Step 1: Find the prime factorization of 7362
7362 = 2 x 3 x 3 x 409
Step 2: Find the prime factorization of 7369
7369 = 7369
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54250578 = 2 x 3 x 3 x 409 x 7369
Step 4: Therefore, the least common multiple of 7362 and 7369 is 54250578.