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 7607 the smallest integer that is 57836021 that is divisible by both numbers.
Least Common Multiple (LCM) of 7603 and 7607 is 57836021.
LCM(7603,7607) = 57836021
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 7607. First we will calculate the prime factors of 7603 and 7607.
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 7607
7607 | 7607 |
1 |
Prime factors of 7607 are 7607. Prime factorization of 7607 in exponential form is:
7607 = 76071
Now multiplying the highest exponent prime factors to calculate the LCM of 7603 and 7607.
LCM(7603,7607) = 76031×76071
LCM(7603,7607) = 57836021
Factors of 7603
List of positive integer factors of 7603 that divides 7603 without a remainder.
1, 7603
Factors of 7607
List of positive integer factors of 7607 that divides 7607 without a remainder.
1, 7607
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7603 and 7607, than apply into the LCM equation.
GCF(7603,7607) = 1
LCM(7603,7607) = ( 7603 × 7607) / 1
LCM(7603,7607) = 57836021 / 1
LCM(7603,7607) = 57836021
(i) The LCM of 7607 and 7603 is associative
LCM of 7603 and 7607 = LCM of 7607 and 7603
1. What is the LCM of 7603 and 7607?
Answer: LCM of 7603 and 7607 is 57836021.
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 7607?
Answer: Factors of 7607 are 1, 7607. There are 2 integers that are factors of 7607. The greatest factor of 7607 is 7607.
4. How to Find the LCM of 7603 and 7607?
Answer:
Least Common Multiple of 7603 and 7607 = 57836021
Step 1: Find the prime factorization of 7603
7603 = 7603
Step 2: Find the prime factorization of 7607
7607 = 7607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57836021 = 7603 x 7607
Step 4: Therefore, the least common multiple of 7603 and 7607 is 57836021.