Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7595 and 7603 the smallest integer that is 57744785 that is divisible by both numbers.
Least Common Multiple (LCM) of 7595 and 7603 is 57744785.
LCM(7595,7603) = 57744785
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 7595 and 7603. First we will calculate the prime factors of 7595 and 7603.
Prime Factorization of 7595
5 | 7595 |
7 | 1519 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 7595 are 5, 7,31. Prime factorization of 7595 in exponential form is:
7595 = 51×72×311
Prime Factorization of 7603
7603 | 7603 |
1 |
Prime factors of 7603 are 7603. Prime factorization of 7603 in exponential form is:
7603 = 76031
Now multiplying the highest exponent prime factors to calculate the LCM of 7595 and 7603.
LCM(7595,7603) = 51×72×311×76031
LCM(7595,7603) = 57744785
Factors of 7595
List of positive integer factors of 7595 that divides 7595 without a remainder.
1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595
Factors of 7603
List of positive integer factors of 7603 that divides 7603 without a remainder.
1, 7603
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7595 and 7603, than apply into the LCM equation.
GCF(7595,7603) = 1
LCM(7595,7603) = ( 7595 × 7603) / 1
LCM(7595,7603) = 57744785 / 1
LCM(7595,7603) = 57744785
(i) The LCM of 7603 and 7595 is associative
LCM of 7595 and 7603 = LCM of 7603 and 7595
1. What is the LCM of 7595 and 7603?
Answer: LCM of 7595 and 7603 is 57744785.
2. What are the Factors of 7595?
Answer: Factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595. There are 12 integers that are factors of 7595. The greatest factor of 7595 is 7595.
3. What are the Factors of 7603?
Answer: Factors of 7603 are 1, 7603. There are 2 integers that are factors of 7603. The greatest factor of 7603 is 7603.
4. How to Find the LCM of 7595 and 7603?
Answer:
Least Common Multiple of 7595 and 7603 = 57744785
Step 1: Find the prime factorization of 7595
7595 = 5 x 7 x 7 x 31
Step 2: Find the prime factorization of 7603
7603 = 7603
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57744785 = 5 x 7 x 7 x 31 x 7603
Step 4: Therefore, the least common multiple of 7595 and 7603 is 57744785.