Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7379 and 7386 the smallest integer that is 54501294 that is divisible by both numbers.
Least Common Multiple (LCM) of 7379 and 7386 is 54501294.
LCM(7379,7386) = 54501294
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 7379 and 7386. First we will calculate the prime factors of 7379 and 7386.
Prime Factorization of 7379
47 | 7379 |
157 | 157 |
1 |
Prime factors of 7379 are 47,157. Prime factorization of 7379 in exponential form is:
7379 = 471×1571
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 7379 and 7386.
LCM(7379,7386) = 21×31×471×1571×12311
LCM(7379,7386) = 54501294
Factors of 7379
List of positive integer factors of 7379 that divides 7379 without a remainder.
1, 47, 157, 7379
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 7379 and 7386, than apply into the LCM equation.
GCF(7379,7386) = 1
LCM(7379,7386) = ( 7379 × 7386) / 1
LCM(7379,7386) = 54501294 / 1
LCM(7379,7386) = 54501294
(i) The LCM of 7386 and 7379 is associative
LCM of 7379 and 7386 = LCM of 7386 and 7379
1. What is the LCM of 7379 and 7386?
Answer: LCM of 7379 and 7386 is 54501294.
2. What are the Factors of 7379?
Answer: Factors of 7379 are 1, 47, 157, 7379. There are 4 integers that are factors of 7379. The greatest factor of 7379 is 7379.
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 7379 and 7386?
Answer:
Least Common Multiple of 7379 and 7386 = 54501294
Step 1: Find the prime factorization of 7379
7379 = 47 x 157
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 = 54501294 = 2 x 3 x 47 x 157 x 1231
Step 4: Therefore, the least common multiple of 7379 and 7386 is 54501294.