Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7381 and 7386 the smallest integer that is 54516066 that is divisible by both numbers.
Least Common Multiple (LCM) of 7381 and 7386 is 54516066.
LCM(7381,7386) = 54516066
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 7381 and 7386. First we will calculate the prime factors of 7381 and 7386.
Prime Factorization of 7381
11 | 7381 |
11 | 671 |
61 | 61 |
1 |
Prime factors of 7381 are 11,61. Prime factorization of 7381 in exponential form is:
7381 = 112×611
Prime Factorization of 7386
2 | 7386 |
3 | 3693 |
1231 | 1231 |
1 |
Prime factors of 7386 are 2, 3,1231. Prime factorization of 7386 in exponential form is:
7386 = 21×31×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 7381 and 7386.
LCM(7381,7386) = 21×31×112×611×12311
LCM(7381,7386) = 54516066
Factors of 7381
List of positive integer factors of 7381 that divides 7381 without a remainder.
1, 11, 61, 121, 671, 7381
Factors of 7386
List of positive integer factors of 7386 that divides 7386 without a remainder.
1, 2, 3, 6, 1231, 2462, 3693, 7386
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7381 and 7386, than apply into the LCM equation.
GCF(7381,7386) = 1
LCM(7381,7386) = ( 7381 × 7386) / 1
LCM(7381,7386) = 54516066 / 1
LCM(7381,7386) = 54516066
(i) The LCM of 7386 and 7381 is associative
LCM of 7381 and 7386 = LCM of 7386 and 7381
1. What is the LCM of 7381 and 7386?
Answer: LCM of 7381 and 7386 is 54516066.
2. What are the Factors of 7381?
Answer: Factors of 7381 are 1, 11, 61, 121, 671, 7381. There are 6 integers that are factors of 7381. The greatest factor of 7381 is 7381.
3. What are the Factors of 7386?
Answer: Factors of 7386 are 1, 2, 3, 6, 1231, 2462, 3693, 7386. There are 8 integers that are factors of 7386. The greatest factor of 7386 is 7386.
4. How to Find the LCM of 7381 and 7386?
Answer:
Least Common Multiple of 7381 and 7386 = 54516066
Step 1: Find the prime factorization of 7381
7381 = 11 x 11 x 61
Step 2: Find the prime factorization of 7386
7386 = 2 x 3 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54516066 = 2 x 3 x 11 x 11 x 61 x 1231
Step 4: Therefore, the least common multiple of 7381 and 7386 is 54516066.