Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7603 and 7609 the smallest integer that is 57851227 that is divisible by both numbers.
Least Common Multiple (LCM) of 7603 and 7609 is 57851227.
LCM(7603,7609) = 57851227
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 7603 and 7609. First we will calculate the prime factors of 7603 and 7609.
Prime Factorization of 7603
7603 | 7603 |
1 |
Prime factors of 7603 are 7603. Prime factorization of 7603 in exponential form is:
7603 = 76031
Prime Factorization of 7609
7 | 7609 |
1087 | 1087 |
1 |
Prime factors of 7609 are 7,1087. Prime factorization of 7609 in exponential form is:
7609 = 71×10871
Now multiplying the highest exponent prime factors to calculate the LCM of 7603 and 7609.
LCM(7603,7609) = 71×10871×76031
LCM(7603,7609) = 57851227
Factors of 7603
List of positive integer factors of 7603 that divides 7603 without a remainder.
1, 7603
Factors of 7609
List of positive integer factors of 7609 that divides 7609 without a remainder.
1, 7, 1087, 7609
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7603 and 7609, than apply into the LCM equation.
GCF(7603,7609) = 1
LCM(7603,7609) = ( 7603 × 7609) / 1
LCM(7603,7609) = 57851227 / 1
LCM(7603,7609) = 57851227
(i) The LCM of 7609 and 7603 is associative
LCM of 7603 and 7609 = LCM of 7609 and 7603
1. What is the LCM of 7603 and 7609?
Answer: LCM of 7603 and 7609 is 57851227.
2. 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.
3. What are the Factors of 7609?
Answer: Factors of 7609 are 1, 7, 1087, 7609. There are 4 integers that are factors of 7609. The greatest factor of 7609 is 7609.
4. How to Find the LCM of 7603 and 7609?
Answer:
Least Common Multiple of 7603 and 7609 = 57851227
Step 1: Find the prime factorization of 7603
7603 = 7603
Step 2: Find the prime factorization of 7609
7609 = 7 x 1087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57851227 = 7 x 1087 x 7603
Step 4: Therefore, the least common multiple of 7603 and 7609 is 57851227.