Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7375 and 7379 the smallest integer that is 54420125 that is divisible by both numbers.
Least Common Multiple (LCM) of 7375 and 7379 is 54420125.
LCM(7375,7379) = 54420125
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 7375 and 7379. First we will calculate the prime factors of 7375 and 7379.
Prime Factorization of 7375
5 | 7375 |
5 | 1475 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 7375 are 5,59. Prime factorization of 7375 in exponential form is:
7375 = 53×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7375 and 7379.
LCM(7375,7379) = 53×471×591×1571
LCM(7375,7379) = 54420125
Factors of 7375
List of positive integer factors of 7375 that divides 7375 without a remainder.
1, 5, 25, 59, 125, 295, 1475, 7375
Factors of 7379
List of positive integer factors of 7379 that divides 7379 without a remainder.
1, 47, 157, 7379
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7375 and 7379, than apply into the LCM equation.
GCF(7375,7379) = 1
LCM(7375,7379) = ( 7375 × 7379) / 1
LCM(7375,7379) = 54420125 / 1
LCM(7375,7379) = 54420125
(i) The LCM of 7379 and 7375 is associative
LCM of 7375 and 7379 = LCM of 7379 and 7375
1. What is the LCM of 7375 and 7379?
Answer: LCM of 7375 and 7379 is 54420125.
2. What are the Factors of 7375?
Answer: Factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375. There are 8 integers that are factors of 7375. The greatest factor of 7375 is 7375.
3. 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.
4. How to Find the LCM of 7375 and 7379?
Answer:
Least Common Multiple of 7375 and 7379 = 54420125
Step 1: Find the prime factorization of 7375
7375 = 5 x 5 x 5 x 59
Step 2: Find the prime factorization of 7379
7379 = 47 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54420125 = 5 x 5 x 5 x 47 x 59 x 157
Step 4: Therefore, the least common multiple of 7375 and 7379 is 54420125.