Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7617 and 7623 the smallest integer that is 19354797 that is divisible by both numbers.
Least Common Multiple (LCM) of 7617 and 7623 is 19354797.
LCM(7617,7623) = 19354797
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 7617 and 7623. First we will calculate the prime factors of 7617 and 7623.
Prime Factorization of 7617
3 | 7617 |
2539 | 2539 |
1 |
Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:
7617 = 31×25391
Prime Factorization of 7623
3 | 7623 |
3 | 2541 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 7623 are 3, 7,11. Prime factorization of 7623 in exponential form is:
7623 = 32×71×112
Now multiplying the highest exponent prime factors to calculate the LCM of 7617 and 7623.
LCM(7617,7623) = 32×71×112×25391
LCM(7617,7623) = 19354797
Factors of 7617
List of positive integer factors of 7617 that divides 7617 without a remainder.
1, 3, 2539, 7617
Factors of 7623
List of positive integer factors of 7623 that divides 7623 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7617 and 7623, than apply into the LCM equation.
GCF(7617,7623) = 3
LCM(7617,7623) = ( 7617 × 7623) / 3
LCM(7617,7623) = 58064391 / 3
LCM(7617,7623) = 19354797
(i) The LCM of 7623 and 7617 is associative
LCM of 7617 and 7623 = LCM of 7623 and 7617
1. What is the LCM of 7617 and 7623?
Answer: LCM of 7617 and 7623 is 19354797.
2. What are the Factors of 7617?
Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.
3. What are the Factors of 7623?
Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.
4. How to Find the LCM of 7617 and 7623?
Answer:
Least Common Multiple of 7617 and 7623 = 19354797
Step 1: Find the prime factorization of 7617
7617 = 3 x 2539
Step 2: Find the prime factorization of 7623
7623 = 3 x 3 x 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19354797 = 3 x 3 x 7 x 11 x 11 x 2539
Step 4: Therefore, the least common multiple of 7617 and 7623 is 19354797.